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Finding the Fourth Proportional to 100,674.16, 138,931.28 and 55,352.44

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Solution

The fourth proportional to 100,674.16, 138,931.28 and 55,352.44 is: 76,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674.16 : 138,931.28 = 55,352.44 : x
  2. Step 2: Convert to fraction form
    100,674.16/138,931.28 = 55,352.44/x
  3. Step 3: Cross multiply
    100,674.16x = 138,931.28 × 55,352.44
  4. Step 4: Simplify right side
    100,674.16x = 7,690,185,340.32
  5. Step 5: Solve for x
    x = 7,690,185,340.32/100,674.16
  6. Step 6: Final answer
    x = 76,386.88

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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.