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Finding the Fourth Proportional to 161,901.60, 242,560.80 and 99,499.20

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Solution

The fourth proportional to 161,901.60, 242,560.80 and 99,499.20 is: 149,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,901.60 : 242,560.80 = 99,499.20 : x
  2. Step 2: Convert to fraction form
    161,901.60/242,560.80 = 99,499.20/x
  3. Step 3: Cross multiply
    161,901.60x = 242,560.80 × 99,499.20
  4. Step 4: Simplify right side
    161,901.60x = 24,134,605,551.36
  5. Step 5: Solve for x
    x = 24,134,605,551.36/161,901.60
  6. Step 6: Final answer
    x = 149,069.59

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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.