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Finding the Fourth Proportional to 100,416.63, 138,462.96 and 64,557.12

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Solution

The fourth proportional to 100,416.63, 138,462.96 and 64,557.12 is: 89,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416.63 : 138,462.96 = 64,557.12 : x
  2. Step 2: Convert to fraction form
    100,416.63/138,462.96 = 64,557.12/x
  3. Step 3: Cross multiply
    100,416.63x = 138,462.96 × 64,557.12
  4. Step 4: Simplify right side
    100,416.63x = 8,938,769,924.28
  5. Step 5: Solve for x
    x = 8,938,769,924.28/100,416.63
  6. Step 6: Final answer
    x = 89,016.83

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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.