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Finding the Fourth Proportional to 99,697.08, 137,578.14 and 54,985.08

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Solution

The fourth proportional to 99,697.08, 137,578.14 and 54,985.08 is: 75,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,697.08 : 137,578.14 = 54,985.08 : x
  2. Step 2: Convert to fraction form
    99,697.08/137,578.14 = 54,985.08/x
  3. Step 3: Cross multiply
    99,697.08x = 137,578.14 × 54,985.08
  4. Step 4: Simplify right side
    99,697.08x = 7,564,745,034.15
  5. Step 5: Solve for x
    x = 7,564,745,034.15/99,697.08
  6. Step 6: Final answer
    x = 75,877.30

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1.5x scale

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.