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Finding the Fourth Proportional to 71,962.16, 107,930.48 and 42,345.32

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Solution

The fourth proportional to 71,962.16, 107,930.48 and 42,345.32 is: 63,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,962.16 : 107,930.48 = 42,345.32 : x
  2. Step 2: Convert to fraction form
    71,962.16/107,930.48 = 42,345.32/x
  3. Step 3: Cross multiply
    71,962.16x = 107,930.48 × 42,345.32
  4. Step 4: Simplify right side
    71,962.16x = 4,570,349,961.97
  5. Step 5: Solve for x
    x = 4,570,349,961.97/71,962.16
  6. Step 6: Final answer
    x = 63,510.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.