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Finding the Fourth Proportional to 102,402.90, 153,585.90 and 72,700.03

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Solution

The fourth proportional to 102,402.90, 153,585.90 and 72,700.03 is: 109,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402.90 : 153,585.90 = 72,700.03 : x
  2. Step 2: Convert to fraction form
    102,402.90/153,585.90 = 72,700.03/x
  3. Step 3: Cross multiply
    102,402.90x = 153,585.90 × 72,700.03
  4. Step 4: Simplify right side
    102,402.90x = 11,165,698,769.65
  5. Step 5: Solve for x
    x = 11,165,698,769.65/102,402.90
  6. Step 6: Final answer
    x = 109,036.94

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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.