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Finding the Fourth Proportional to 142,102.68, 213,154.05 and 72,002.04

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Solution

The fourth proportional to 142,102.68, 213,154.05 and 72,002.04 is: 108,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102.68 : 213,154.05 = 72,002.04 : x
  2. Step 2: Convert to fraction form
    142,102.68/213,154.05 = 72,002.04/x
  3. Step 3: Cross multiply
    142,102.68x = 213,154.05 × 72,002.04
  4. Step 4: Simplify right side
    142,102.68x = 15,347,526,434.26
  5. Step 5: Solve for x
    x = 15,347,526,434.26/142,102.68
  6. Step 6: Final answer
    x = 108,003.08

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1.5x scale

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.