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Finding the Fourth Proportional to 142,102.93, 213,154.43 and 72,002.29

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Solution

The fourth proportional to 142,102.93, 213,154.43 and 72,002.29 is: 108,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102.93 : 213,154.43 = 72,002.29 : x
  2. Step 2: Convert to fraction form
    142,102.93/213,154.43 = 72,002.29/x
  3. Step 3: Cross multiply
    142,102.93x = 213,154.43 × 72,002.29
  4. Step 4: Simplify right side
    142,102.93x = 15,347,607,083.64
  5. Step 5: Solve for x
    x = 15,347,607,083.64/142,102.93
  6. Step 6: Final answer
    x = 108,003.45

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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.