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Finding the Fourth Proportional to 100,298.76, 138,411.74 and 54,978.65

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Solution

The fourth proportional to 100,298.76, 138,411.74 and 54,978.65 is: 75,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.76 : 138,411.74 = 54,978.65 : x
  2. Step 2: Convert to fraction form
    100,298.76/138,411.74 = 54,978.65/x
  3. Step 3: Cross multiply
    100,298.76x = 138,411.74 × 54,978.65
  4. Step 4: Simplify right side
    100,298.76x = 7,609,690,264.53
  5. Step 5: Solve for x
    x = 7,609,690,264.53/100,298.76
  6. Step 6: Final answer
    x = 75,870.24

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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.