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Finding the Fourth Proportional to 100,200.71, 138,276.75 and 54,878.72

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Solution

The fourth proportional to 100,200.71, 138,276.75 and 54,878.72 is: 75,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.71 : 138,276.75 = 54,878.72 : x
  2. Step 2: Convert to fraction form
    100,200.71/138,276.75 = 54,878.72/x
  3. Step 3: Cross multiply
    100,200.71x = 138,276.75 × 54,878.72
  4. Step 4: Simplify right side
    100,200.71x = 7,588,450,560.17
  5. Step 5: Solve for x
    x = 7,588,450,560.17/100,200.71
  6. Step 6: Final answer
    x = 75,732.50

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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.