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Finding the Fourth Proportional to 102,702.28, 154,044.52 and 72,844.88

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Solution

The fourth proportional to 102,702.28, 154,044.52 and 72,844.88 is: 109,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702.28 : 154,044.52 = 72,844.88 : x
  2. Step 2: Convert to fraction form
    102,702.28/154,044.52 = 72,844.88/x
  3. Step 3: Cross multiply
    102,702.28x = 154,044.52 × 72,844.88
  4. Step 4: Simplify right side
    102,702.28x = 11,221,354,574.06
  5. Step 5: Solve for x
    x = 11,221,354,574.06/102,702.28
  6. Step 6: Final answer
    x = 109,261.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.