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Finding the Fourth Proportional to 142,138.86, 213,165.54 and 117,116.88

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Solution

The fourth proportional to 142,138.86, 213,165.54 and 117,116.88 is: 175,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,138.86 : 213,165.54 = 117,116.88 : x
  2. Step 2: Convert to fraction form
    142,138.86/213,165.54 = 117,116.88/x
  3. Step 3: Cross multiply
    142,138.86x = 213,165.54 × 117,116.88
  4. Step 4: Simplify right side
    142,138.86x = 24,965,282,968.32
  5. Step 5: Solve for x
    x = 24,965,282,968.32/142,138.86
  6. Step 6: Final answer
    x = 175,640.10

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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.