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Finding the Fourth Proportional to 142,362.30, 213,154.65 and 102,704.70

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Solution

The fourth proportional to 142,362.30, 213,154.65 and 102,704.70 is: 153,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,362.30 : 213,154.65 = 102,704.70 : x
  2. Step 2: Convert to fraction form
    142,362.30/213,154.65 = 102,704.70/x
  3. Step 3: Cross multiply
    142,362.30x = 213,154.65 × 102,704.70
  4. Step 4: Simplify right side
    142,362.30x = 21,891,984,381.86
  5. Step 5: Solve for x
    x = 21,891,984,381.86/142,362.30
  6. Step 6: Final answer
    x = 153,776.56

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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.