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Finding the Fourth Proportional to 100,124.56, 138,024.66 and 76,209.58

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Solution

The fourth proportional to 100,124.56, 138,024.66 and 76,209.58 is: 105,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,124.56 : 138,024.66 = 76,209.58 : x
  2. Step 2: Convert to fraction form
    100,124.56/138,024.66 = 76,209.58/x
  3. Step 3: Cross multiply
    100,124.56x = 138,024.66 × 76,209.58
  4. Step 4: Simplify right side
    100,124.56x = 10,518,801,368.24
  5. Step 5: Solve for x
    x = 10,518,801,368.24/100,124.56
  6. Step 6: Final answer
    x = 105,057.15

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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.