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Finding the Fourth Proportional to 102,668.31, 153,679.83 and 65,270.61

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Solution

The fourth proportional to 102,668.31, 153,679.83 and 65,270.61 is: 97,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,668.31 : 153,679.83 = 65,270.61 : x
  2. Step 2: Convert to fraction form
    102,668.31/153,679.83 = 65,270.61/x
  3. Step 3: Cross multiply
    102,668.31x = 153,679.83 × 65,270.61
  4. Step 4: Simplify right side
    102,668.31x = 10,030,776,248.80
  5. Step 5: Solve for x
    x = 10,030,776,248.80/102,668.31
  6. Step 6: Final answer
    x = 97,700.80

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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.