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Finding the Fourth Proportional to 52,657.12, 78,990 and 26,359.84

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Solution

The fourth proportional to 52,657.12, 78,990 and 26,359.84 is: 39,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,657.12 : 78,990 = 26,359.84 : x
  2. Step 2: Convert to fraction form
    52,657.12/78,990 = 26,359.84/x
  3. Step 3: Cross multiply
    52,657.12x = 78,990 × 26,359.84
  4. Step 4: Simplify right side
    52,657.12x = 2,082,163,761.60
  5. Step 5: Solve for x
    x = 2,082,163,761.60/52,657.12
  6. Step 6: Final answer
    x = 39,541.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.