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Finding the Fourth Proportional to 161,572.56, 242,200.08 and 77,308.80

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Solution

The fourth proportional to 161,572.56, 242,200.08 and 77,308.80 is: 115,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572.56 : 242,200.08 = 77,308.80 : x
  2. Step 2: Convert to fraction form
    161,572.56/242,200.08 = 77,308.80/x
  3. Step 3: Cross multiply
    161,572.56x = 242,200.08 × 77,308.80
  4. Step 4: Simplify right side
    161,572.56x = 18,724,197,544.70
  5. Step 5: Solve for x
    x = 18,724,197,544.70/161,572.56
  6. Step 6: Final answer
    x = 115,887.24

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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.