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Finding the Fourth Proportional to 162,127, 242,990.82 and 115,125.40

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Solution

The fourth proportional to 162,127, 242,990.82 and 115,125.40 is: 172,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,127 : 242,990.82 = 115,125.40 : x
  2. Step 2: Convert to fraction form
    162,127/242,990.82 = 115,125.40/x
  3. Step 3: Cross multiply
    162,127x = 242,990.82 × 115,125.40
  4. Step 4: Simplify right side
    162,127x = 27,974,415,348.83
  5. Step 5: Solve for x
    x = 27,974,415,348.83/162,127
  6. Step 6: Final answer
    x = 172,546.31

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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.