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Finding the Fourth Proportional to 161,430, 242,146.20 and 56,248.80

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Solution

The fourth proportional to 161,430, 242,146.20 and 56,248.80 is: 84,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,430 : 242,146.20 = 56,248.80 : x
  2. Step 2: Convert to fraction form
    161,430/242,146.20 = 56,248.80/x
  3. Step 3: Cross multiply
    161,430x = 242,146.20 × 56,248.80
  4. Step 4: Simplify right side
    161,430x = 13,620,433,174.56
  5. Step 5: Solve for x
    x = 13,620,433,174.56/161,430
  6. Step 6: Final answer
    x = 84,373.62

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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.