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Finding the Fourth Proportional to 65,419.88, 90,271.98 and 36,735.74

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Solution

The fourth proportional to 65,419.88, 90,271.98 and 36,735.74 is: 50,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419.88 : 90,271.98 = 36,735.74 : x
  2. Step 2: Convert to fraction form
    65,419.88/90,271.98 = 36,735.74/x
  3. Step 3: Cross multiply
    65,419.88x = 90,271.98 × 36,735.74
  4. Step 4: Simplify right side
    65,419.88x = 3,316,207,986.57
  5. Step 5: Solve for x
    x = 3,316,207,986.57/65,419.88
  6. Step 6: Final answer
    x = 50,691.14

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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.