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Finding the Fourth Proportional to 100,152.32, 138,209.96 and 54,829.90

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Solution

The fourth proportional to 100,152.32, 138,209.96 and 54,829.90 is: 75,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152.32 : 138,209.96 = 54,829.90 : x
  2. Step 2: Convert to fraction form
    100,152.32/138,209.96 = 54,829.90/x
  3. Step 3: Cross multiply
    100,152.32x = 138,209.96 × 54,829.90
  4. Step 4: Simplify right side
    100,152.32x = 7,578,038,184.42
  5. Step 5: Solve for x
    x = 7,578,038,184.42/100,152.32
  6. Step 6: Final answer
    x = 75,665.13

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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.