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Finding the Fourth Proportional to 65,242.89, 90,032.18 and 36,948.78

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Solution

The fourth proportional to 65,242.89, 90,032.18 and 36,948.78 is: 50,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.89 : 90,032.18 = 36,948.78 : x
  2. Step 2: Convert to fraction form
    65,242.89/90,032.18 = 36,948.78/x
  3. Step 3: Cross multiply
    65,242.89x = 90,032.18 × 36,948.78
  4. Step 4: Simplify right side
    65,242.89x = 3,326,579,027.00
  5. Step 5: Solve for x
    x = 3,326,579,027.00/65,242.89
  6. Step 6: Final answer
    x = 50,987.61

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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.