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Finding the Fourth Proportional to 65,625, 90,562.50 and 40,489.08

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Solution

The fourth proportional to 65,625, 90,562.50 and 40,489.08 is: 55,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625 : 90,562.50 = 40,489.08 : x
  2. Step 2: Convert to fraction form
    65,625/90,562.50 = 40,489.08/x
  3. Step 3: Cross multiply
    65,625x = 90,562.50 × 40,489.08
  4. Step 4: Simplify right side
    65,625x = 3,666,792,307.50
  5. Step 5: Solve for x
    x = 3,666,792,307.50/65,625
  6. Step 6: Final answer
    x = 55,874.93

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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.