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Finding the Fourth Proportional to 102,511.60, 153,767.40 and 91,452.40

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Solution

The fourth proportional to 102,511.60, 153,767.40 and 91,452.40 is: 137,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,511.60 : 153,767.40 = 91,452.40 : x
  2. Step 2: Convert to fraction form
    102,511.60/153,767.40 = 91,452.40/x
  3. Step 3: Cross multiply
    102,511.60x = 153,767.40 × 91,452.40
  4. Step 4: Simplify right side
    102,511.60x = 14,062,397,771.76
  5. Step 5: Solve for x
    x = 14,062,397,771.76/102,511.60
  6. Step 6: Final answer
    x = 137,178.60

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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.