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Finding the Fourth Proportional to 51,409.80, 77,114.70 and 48,129.30

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Solution

The fourth proportional to 51,409.80, 77,114.70 and 48,129.30 is: 72,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.80 : 77,114.70 = 48,129.30 : x
  2. Step 2: Convert to fraction form
    51,409.80/77,114.70 = 48,129.30/x
  3. Step 3: Cross multiply
    51,409.80x = 77,114.70 × 48,129.30
  4. Step 4: Simplify right side
    51,409.80x = 3,711,476,530.71
  5. Step 5: Solve for x
    x = 3,711,476,530.71/51,409.80
  6. Step 6: Final answer
    x = 72,193.95

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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.