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Finding the Fourth Proportional to 100,000, 149,925.96 and 60,547.84

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Solution

The fourth proportional to 100,000, 149,925.96 and 60,547.84 is: 90,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,000 : 149,925.96 = 60,547.84 : x
  2. Step 2: Convert to fraction form
    100,000/149,925.96 = 60,547.84/x
  3. Step 3: Cross multiply
    100,000x = 149,925.96 × 60,547.84
  4. Step 4: Simplify right side
    100,000x = 9,077,693,037.93
  5. Step 5: Solve for x
    x = 9,077,693,037.93/100,000
  6. Step 6: Final answer
    x = 90,776.93

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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.