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Finding the Fourth Proportional to 100,015.62, 137,956.50 and 64,148.82

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Solution

The fourth proportional to 100,015.62, 137,956.50 and 64,148.82 is: 88,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,015.62 : 137,956.50 = 64,148.82 : x
  2. Step 2: Convert to fraction form
    100,015.62/137,956.50 = 64,148.82/x
  3. Step 3: Cross multiply
    100,015.62x = 137,956.50 × 64,148.82
  4. Step 4: Simplify right side
    100,015.62x = 8,849,746,686.33
  5. Step 5: Solve for x
    x = 8,849,746,686.33/100,015.62
  6. Step 6: Final answer
    x = 88,483.65

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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.