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Finding the Fourth Proportional to 90,497.61, 135,825.62 and 48,411.21

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Solution

The fourth proportional to 90,497.61, 135,825.62 and 48,411.21 is: 72,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,497.61 : 135,825.62 = 48,411.21 : x
  2. Step 2: Convert to fraction form
    90,497.61/135,825.62 = 48,411.21/x
  3. Step 3: Cross multiply
    90,497.61x = 135,825.62 × 48,411.21
  4. Step 4: Simplify right side
    90,497.61x = 6,575,482,371.14
  5. Step 5: Solve for x
    x = 6,575,482,371.14/90,497.61
  6. Step 6: Final answer
    x = 72,659.18

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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.