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Finding the Fourth Proportional to 100,486.92, 138,643.56 and 64,697.64

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Solution

The fourth proportional to 100,486.92, 138,643.56 and 64,697.64 is: 89,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,486.92 : 138,643.56 = 64,697.64 : x
  2. Step 2: Convert to fraction form
    100,486.92/138,643.56 = 64,697.64/x
  3. Step 3: Cross multiply
    100,486.92x = 138,643.56 × 64,697.64
  4. Step 4: Simplify right side
    100,486.92x = 8,969,911,133.20
  5. Step 5: Solve for x
    x = 8,969,911,133.20/100,486.92
  6. Step 6: Final answer
    x = 89,264.46

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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.