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Finding the Fourth Proportional to 65,458.60, 90,344.63 and 38,599.50

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Solution

The fourth proportional to 65,458.60, 90,344.63 and 38,599.50 is: 53,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.60 : 90,344.63 = 38,599.50 : x
  2. Step 2: Convert to fraction form
    65,458.60/90,344.63 = 38,599.50/x
  3. Step 3: Cross multiply
    65,458.60x = 90,344.63 × 38,599.50
  4. Step 4: Simplify right side
    65,458.60x = 3,487,257,545.69
  5. Step 5: Solve for x
    x = 3,487,257,545.69/65,458.60
  6. Step 6: Final answer
    x = 53,274.25

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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.