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Finding the Fourth Proportional to 142,452.54, 213,783.80 and 67,572.90

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Solution

The fourth proportional to 142,452.54, 213,783.80 and 67,572.90 is: 101,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,452.54 : 213,783.80 = 67,572.90 : x
  2. Step 2: Convert to fraction form
    142,452.54/213,783.80 = 67,572.90/x
  3. Step 3: Cross multiply
    142,452.54x = 213,783.80 × 67,572.90
  4. Step 4: Simplify right side
    142,452.54x = 14,445,991,001.16
  5. Step 5: Solve for x
    x = 14,445,991,001.16/142,452.54
  6. Step 6: Final answer
    x = 101,409.15

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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.