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Finding the Fourth Proportional to 65,892.12, 90,931.29 and 35,677.50

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Solution

The fourth proportional to 65,892.12, 90,931.29 and 35,677.50 is: 49,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,892.12 : 90,931.29 = 35,677.50 : x
  2. Step 2: Convert to fraction form
    65,892.12/90,931.29 = 35,677.50/x
  3. Step 3: Cross multiply
    65,892.12x = 90,931.29 × 35,677.50
  4. Step 4: Simplify right side
    65,892.12x = 3,244,201,098.98
  5. Step 5: Solve for x
    x = 3,244,201,098.98/65,892.12
  6. Step 6: Final answer
    x = 49,235.04

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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.