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Finding the Fourth Proportional to 98,545.48, 147,773.67 and 45,970

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Solution

The fourth proportional to 98,545.48, 147,773.67 and 45,970 is: 68,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,545.48 : 147,773.67 = 45,970 : x
  2. Step 2: Convert to fraction form
    98,545.48/147,773.67 = 45,970/x
  3. Step 3: Cross multiply
    98,545.48x = 147,773.67 × 45,970
  4. Step 4: Simplify right side
    98,545.48x = 6,793,155,609.90
  5. Step 5: Solve for x
    x = 6,793,155,609.90/98,545.48
  6. Step 6: Final answer
    x = 68,934.22

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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.