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Finding the Fourth Proportional to 105,711.38, 145,958.24 and 68,051.24

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Solution

The fourth proportional to 105,711.38, 145,958.24 and 68,051.24 is: 93,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.38 : 145,958.24 = 68,051.24 : x
  2. Step 2: Convert to fraction form
    105,711.38/145,958.24 = 68,051.24/x
  3. Step 3: Cross multiply
    105,711.38x = 145,958.24 × 68,051.24
  4. Step 4: Simplify right side
    105,711.38x = 9,932,639,220.22
  5. Step 5: Solve for x
    x = 9,932,639,220.22/105,711.38
  6. Step 6: Final answer
    x = 93,959.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.