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Finding the Fourth Proportional to 65,487.52, 98,189.02 and 31,274.78

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Solution

The fourth proportional to 65,487.52, 98,189.02 and 31,274.78 is: 46,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,487.52 : 98,189.02 = 31,274.78 : x
  2. Step 2: Convert to fraction form
    65,487.52/98,189.02 = 31,274.78/x
  3. Step 3: Cross multiply
    65,487.52x = 98,189.02 × 31,274.78
  4. Step 4: Simplify right side
    65,487.52x = 3,070,839,547.06
  5. Step 5: Solve for x
    x = 3,070,839,547.06/65,487.52
  6. Step 6: Final answer
    x = 46,891.98

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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.