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Finding the Fourth Proportional to 100,291.52, 138,357.76 and 64,474.88

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Solution

The fourth proportional to 100,291.52, 138,357.76 and 64,474.88 is: 88,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.52 : 138,357.76 = 64,474.88 : x
  2. Step 2: Convert to fraction form
    100,291.52/138,357.76 = 64,474.88/x
  3. Step 3: Cross multiply
    100,291.52x = 138,357.76 × 64,474.88
  4. Step 4: Simplify right side
    100,291.52x = 8,920,599,973.07
  5. Step 5: Solve for x
    x = 8,920,599,973.07/100,291.52
  6. Step 6: Final answer
    x = 88,946.70

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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.