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Finding the Fourth Proportional to 90,497.66, 135,766 and 27,312.50

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Solution

The fourth proportional to 90,497.66, 135,766 and 27,312.50 is: 40,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,497.66 : 135,766 = 27,312.50 : x
  2. Step 2: Convert to fraction form
    90,497.66/135,766 = 27,312.50/x
  3. Step 3: Cross multiply
    90,497.66x = 135,766 × 27,312.50
  4. Step 4: Simplify right side
    90,497.66x = 3,708,108,875
  5. Step 5: Solve for x
    x = 3,708,108,875/90,497.66
  6. Step 6: Final answer
    x = 40,974.64

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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.