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Finding the Fourth Proportional to 76,458,532.80, 105,512,728.80 and 42,119,716.80

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Solution

The fourth proportional to 76,458,532.80, 105,512,728.80 and 42,119,716.80 is: 58,125,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,458,532.80 : 105,512,728.80 = 42,119,716.80 : x
  2. Step 2: Convert to fraction form
    76,458,532.80/105,512,728.80 = 42,119,716.80/x
  3. Step 3: Cross multiply
    76,458,532.80x = 105,512,728.80 × 42,119,716.80
  4. Step 4: Simplify right side
    76,458,532.80x = 4,444,166,255,851,203.50
  5. Step 5: Solve for x
    x = 4,444,166,255,851,203.50/76,458,532.80
  6. Step 6: Final answer
    x = 58,125,183.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.