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Finding the Fourth Proportional to 100,398.92, 138,437.06 and 64,051.88

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Solution

The fourth proportional to 100,398.92, 138,437.06 and 64,051.88 is: 88,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.92 : 138,437.06 = 64,051.88 : x
  2. Step 2: Convert to fraction form
    100,398.92/138,437.06 = 64,051.88/x
  3. Step 3: Cross multiply
    100,398.92x = 138,437.06 × 64,051.88
  4. Step 4: Simplify right side
    100,398.92x = 8,867,153,954.67
  5. Step 5: Solve for x
    x = 8,867,153,954.67/100,398.92
  6. Step 6: Final answer
    x = 88,319.22

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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.