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Finding the Fourth Proportional to 98,476.32, 135,850.86 and 71,607

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Solution

The fourth proportional to 98,476.32, 135,850.86 and 71,607 is: 98,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476.32 : 135,850.86 = 71,607 : x
  2. Step 2: Convert to fraction form
    98,476.32/135,850.86 = 71,607/x
  3. Step 3: Cross multiply
    98,476.32x = 135,850.86 × 71,607
  4. Step 4: Simplify right side
    98,476.32x = 9,727,872,532.02
  5. Step 5: Solve for x
    x = 9,727,872,532.02/98,476.32
  6. Step 6: Final answer
    x = 98,783.88

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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.