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Finding the Fourth Proportional to 160,132.50, 240,117.13 and 53,478.07

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Solution

The fourth proportional to 160,132.50, 240,117.13 and 53,478.07 is: 80,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,132.50 : 240,117.13 = 53,478.07 : x
  2. Step 2: Convert to fraction form
    160,132.50/240,117.13 = 53,478.07/x
  3. Step 3: Cross multiply
    160,132.50x = 240,117.13 × 53,478.07
  4. Step 4: Simplify right side
    160,132.50x = 12,841,000,686.34
  5. Step 5: Solve for x
    x = 12,841,000,686.34/160,132.50
  6. Step 6: Final answer
    x = 80,189.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.