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Finding the Fourth Proportional to 138,384.65, 206,818.75 and 101,023.40

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Solution

The fourth proportional to 138,384.65, 206,818.75 and 101,023.40 is: 150,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,384.65 : 206,818.75 = 101,023.40 : x
  2. Step 2: Convert to fraction form
    138,384.65/206,818.75 = 101,023.40/x
  3. Step 3: Cross multiply
    138,384.65x = 206,818.75 × 101,023.40
  4. Step 4: Simplify right side
    138,384.65x = 20,893,533,308.75
  5. Step 5: Solve for x
    x = 20,893,533,308.75/138,384.65
  6. Step 6: Final answer
    x = 150,981.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.