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Finding the Fourth Proportional to 100,489.26, 138,646.77 and 64,700.01

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Solution

The fourth proportional to 100,489.26, 138,646.77 and 64,700.01 is: 89,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489.26 : 138,646.77 = 64,700.01 : x
  2. Step 2: Convert to fraction form
    100,489.26/138,646.77 = 64,700.01/x
  3. Step 3: Cross multiply
    100,489.26x = 138,646.77 × 64,700.01
  4. Step 4: Simplify right side
    100,489.26x = 8,970,447,405.47
  5. Step 5: Solve for x
    x = 8,970,447,405.47/100,489.26
  6. Step 6: Final answer
    x = 89,267.72

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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.