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Finding the Fourth Proportional to 161,641.60, 242,462.40 and 72,995.20

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Solution

The fourth proportional to 161,641.60, 242,462.40 and 72,995.20 is: 109,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,641.60 : 242,462.40 = 72,995.20 : x
  2. Step 2: Convert to fraction form
    161,641.60/242,462.40 = 72,995.20/x
  3. Step 3: Cross multiply
    161,641.60x = 242,462.40 × 72,995.20
  4. Step 4: Simplify right side
    161,641.60x = 17,698,591,380.48
  5. Step 5: Solve for x
    x = 17,698,591,380.48/161,641.60
  6. Step 6: Final answer
    x = 109,492.80

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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.