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Finding the Fourth Proportional to 100,033.57, 138,041.21 and 54,702.74

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Solution

The fourth proportional to 100,033.57, 138,041.21 and 54,702.74 is: 75,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.57 : 138,041.21 = 54,702.74 : x
  2. Step 2: Convert to fraction form
    100,033.57/138,041.21 = 54,702.74/x
  3. Step 3: Cross multiply
    100,033.57x = 138,041.21 × 54,702.74
  4. Step 4: Simplify right side
    100,033.57x = 7,551,232,419.92
  5. Step 5: Solve for x
    x = 7,551,232,419.92/100,033.57
  6. Step 6: Final answer
    x = 75,486.98

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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.