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Finding the Fourth Proportional to 137,314.90, 205,713.15 and 70,527.70

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Solution

The fourth proportional to 137,314.90, 205,713.15 and 70,527.70 is: 105,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,314.90 : 205,713.15 = 70,527.70 : x
  2. Step 2: Convert to fraction form
    137,314.90/205,713.15 = 70,527.70/x
  3. Step 3: Cross multiply
    137,314.90x = 205,713.15 × 70,527.70
  4. Step 4: Simplify right side
    137,314.90x = 14,508,475,329.26
  5. Step 5: Solve for x
    x = 14,508,475,329.26/137,314.90
  6. Step 6: Final answer
    x = 105,658.42

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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.