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Finding the Fourth Proportional to 141,959.32, 212,859.13 and 47,138.76

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Solution

The fourth proportional to 141,959.32, 212,859.13 and 47,138.76 is: 70,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,959.32 : 212,859.13 = 47,138.76 : x
  2. Step 2: Convert to fraction form
    141,959.32/212,859.13 = 47,138.76/x
  3. Step 3: Cross multiply
    141,959.32x = 212,859.13 × 47,138.76
  4. Step 4: Simplify right side
    141,959.32x = 10,033,915,013.62
  5. Step 5: Solve for x
    x = 10,033,915,013.62/141,959.32
  6. Step 6: Final answer
    x = 70,681.62

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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.