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Finding the Fourth Proportional to 90,497.16, 135,765.25 and 27,312

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Solution

The fourth proportional to 90,497.16, 135,765.25 and 27,312 is: 40,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,497.16 : 135,765.25 = 27,312 : x
  2. Step 2: Convert to fraction form
    90,497.16/135,765.25 = 27,312/x
  3. Step 3: Cross multiply
    90,497.16x = 135,765.25 × 27,312
  4. Step 4: Simplify right side
    90,497.16x = 3,708,020,508
  5. Step 5: Solve for x
    x = 3,708,020,508/90,497.16
  6. Step 6: Final answer
    x = 40,973.89

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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.