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Finding the Fourth Proportional to 100,698.16, 138,902.28 and 72,442.16

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Solution

The fourth proportional to 100,698.16, 138,902.28 and 72,442.16 is: 99,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.16 : 138,902.28 = 72,442.16 : x
  2. Step 2: Convert to fraction form
    100,698.16/138,902.28 = 72,442.16/x
  3. Step 3: Cross multiply
    100,698.16x = 138,902.28 × 72,442.16
  4. Step 4: Simplify right side
    100,698.16x = 10,062,381,192.12
  5. Step 5: Solve for x
    x = 10,062,381,192.12/100,698.16
  6. Step 6: Final answer
    x = 99,926.17

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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.