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Finding the Fourth Proportional to 99,538.80, 137,315.16 and 63,700.08

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Solution

The fourth proportional to 99,538.80, 137,315.16 and 63,700.08 is: 87,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,538.80 : 137,315.16 = 63,700.08 : x
  2. Step 2: Convert to fraction form
    99,538.80/137,315.16 = 63,700.08/x
  3. Step 3: Cross multiply
    99,538.80x = 137,315.16 × 63,700.08
  4. Step 4: Simplify right side
    99,538.80x = 8,746,986,677.21
  5. Step 5: Solve for x
    x = 8,746,986,677.21/99,538.80
  6. Step 6: Final answer
    x = 87,875.15

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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.