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Finding the Fourth Proportional to 76,128, 105,056.64 and 42,600.48

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Solution

The fourth proportional to 76,128, 105,056.64 and 42,600.48 is: 58,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,128 : 105,056.64 = 42,600.48 : x
  2. Step 2: Convert to fraction form
    76,128/105,056.64 = 42,600.48/x
  3. Step 3: Cross multiply
    76,128x = 105,056.64 × 42,600.48
  4. Step 4: Simplify right side
    76,128x = 4,475,463,291.19
  5. Step 5: Solve for x
    x = 4,475,463,291.19/76,128
  6. Step 6: Final answer
    x = 58,788.66

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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.