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Finding the Fourth Proportional to 100,397.73, 138,547.58 and 57,376.74

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Solution

The fourth proportional to 100,397.73, 138,547.58 and 57,376.74 is: 79,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.73 : 138,547.58 = 57,376.74 : x
  2. Step 2: Convert to fraction form
    100,397.73/138,547.58 = 57,376.74/x
  3. Step 3: Cross multiply
    100,397.73x = 138,547.58 × 57,376.74
  4. Step 4: Simplify right side
    100,397.73x = 7,949,408,475.29
  5. Step 5: Solve for x
    x = 7,949,408,475.29/100,397.73
  6. Step 6: Final answer
    x = 79,179.17

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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.