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Finding the Fourth Proportional to 162,021.60, 242,254.80 and 120,031.20

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Solution

The fourth proportional to 162,021.60, 242,254.80 and 120,031.20 is: 179,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,021.60 : 242,254.80 = 120,031.20 : x
  2. Step 2: Convert to fraction form
    162,021.60/242,254.80 = 120,031.20/x
  3. Step 3: Cross multiply
    162,021.60x = 242,254.80 × 120,031.20
  4. Step 4: Simplify right side
    162,021.60x = 29,078,134,349.76
  5. Step 5: Solve for x
    x = 29,078,134,349.76/162,021.60
  6. Step 6: Final answer
    x = 179,470.73

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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.