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Finding the Fourth Proportional to 76,458.79, 105,509.55 and 42,469.44

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Solution

The fourth proportional to 76,458.79, 105,509.55 and 42,469.44 is: 58,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,458.79 : 105,509.55 = 42,469.44 : x
  2. Step 2: Convert to fraction form
    76,458.79/105,509.55 = 42,469.44/x
  3. Step 3: Cross multiply
    76,458.79x = 105,509.55 × 42,469.44
  4. Step 4: Simplify right side
    76,458.79x = 4,480,931,503.15
  5. Step 5: Solve for x
    x = 4,480,931,503.15/76,458.79
  6. Step 6: Final answer
    x = 58,605.84

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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.