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Finding the Fourth Proportional to 138,045.30, 206,946.45 and 93,527.70

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Solution

The fourth proportional to 138,045.30, 206,946.45 and 93,527.70 is: 140,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045.30 : 206,946.45 = 93,527.70 : x
  2. Step 2: Convert to fraction form
    138,045.30/206,946.45 = 93,527.70/x
  3. Step 3: Cross multiply
    138,045.30x = 206,946.45 × 93,527.70
  4. Step 4: Simplify right side
    138,045.30x = 19,355,225,491.67
  5. Step 5: Solve for x
    x = 19,355,225,491.67/138,045.30
  6. Step 6: Final answer
    x = 140,209.23

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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.