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Finding the Fourth Proportional to 162,004.70, 242,897.70 and 86,115.80

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Solution

The fourth proportional to 162,004.70, 242,897.70 and 86,115.80 is: 129,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,004.70 : 242,897.70 = 86,115.80 : x
  2. Step 2: Convert to fraction form
    162,004.70/242,897.70 = 86,115.80/x
  3. Step 3: Cross multiply
    162,004.70x = 242,897.70 × 86,115.80
  4. Step 4: Simplify right side
    162,004.70x = 20,917,329,753.66
  5. Step 5: Solve for x
    x = 20,917,329,753.66/162,004.70
  6. Step 6: Final answer
    x = 129,115.57

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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.