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Finding the Fourth Proportional to 161,886.20, 242,829.30 and 146,139.80

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Solution

The fourth proportional to 161,886.20, 242,829.30 and 146,139.80 is: 219,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,886.20 : 242,829.30 = 146,139.80 : x
  2. Step 2: Convert to fraction form
    161,886.20/242,829.30 = 146,139.80/x
  3. Step 3: Cross multiply
    161,886.20x = 242,829.30 × 146,139.80
  4. Step 4: Simplify right side
    161,886.20x = 35,487,025,336.14
  5. Step 5: Solve for x
    x = 35,487,025,336.14/161,886.20
  6. Step 6: Final answer
    x = 219,209.70

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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.