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Finding the Fourth Proportional to 177,981.87, 266,965.87 and 65,613.47

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Solution

The fourth proportional to 177,981.87, 266,965.87 and 65,613.47 is: 98,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,981.87 : 266,965.87 = 65,613.47 : x
  2. Step 2: Convert to fraction form
    177,981.87/266,965.87 = 65,613.47/x
  3. Step 3: Cross multiply
    177,981.87x = 266,965.87 × 65,613.47
  4. Step 4: Simplify right side
    177,981.87x = 17,516,556,270.82
  5. Step 5: Solve for x
    x = 17,516,556,270.82/177,981.87
  6. Step 6: Final answer
    x = 98,417.65

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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.