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Finding the Fourth Proportional to 140,928.40, 194,476.98 and 77,264.02

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Solution

The fourth proportional to 140,928.40, 194,476.98 and 77,264.02 is: 106,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,928.40 : 194,476.98 = 77,264.02 : x
  2. Step 2: Convert to fraction form
    140,928.40/194,476.98 = 77,264.02/x
  3. Step 3: Cross multiply
    140,928.40x = 194,476.98 × 77,264.02
  4. Step 4: Simplify right side
    140,928.40x = 15,026,073,272.26
  5. Step 5: Solve for x
    x = 15,026,073,272.26/140,928.40
  6. Step 6: Final answer
    x = 106,622.04

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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.