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Finding the Fourth Proportional to 162,002.20, 242,711.70 and 138,674.20

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Solution

The fourth proportional to 162,002.20, 242,711.70 and 138,674.20 is: 207,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.20 : 242,711.70 = 138,674.20 : x
  2. Step 2: Convert to fraction form
    162,002.20/242,711.70 = 138,674.20/x
  3. Step 3: Cross multiply
    162,002.20x = 242,711.70 × 138,674.20
  4. Step 4: Simplify right side
    162,002.20x = 33,657,850,828.14
  5. Step 5: Solve for x
    x = 33,657,850,828.14/162,002.20
  6. Step 6: Final answer
    x = 207,761.69

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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.