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Finding the Fourth Proportional to 100,402.57, 138,649.30 and 64,655.45

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Solution

The fourth proportional to 100,402.57, 138,649.30 and 64,655.45 is: 89,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,402.57 : 138,649.30 = 64,655.45 : x
  2. Step 2: Convert to fraction form
    100,402.57/138,649.30 = 64,655.45/x
  3. Step 3: Cross multiply
    100,402.57x = 138,649.30 × 64,655.45
  4. Step 4: Simplify right side
    100,402.57x = 8,964,432,190.44
  5. Step 5: Solve for x
    x = 8,964,432,190.44/100,402.57
  6. Step 6: Final answer
    x = 89,284.89

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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.