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Finding the Fourth Proportional to 51,478, 71,041.14 and 28,816.92

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Solution

The fourth proportional to 51,478, 71,041.14 and 28,816.92 is: 39,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478 : 71,041.14 = 28,816.92 : x
  2. Step 2: Convert to fraction form
    51,478/71,041.14 = 28,816.92/x
  3. Step 3: Cross multiply
    51,478x = 71,041.14 × 28,816.92
  4. Step 4: Simplify right side
    51,478x = 2,047,186,848.09
  5. Step 5: Solve for x
    x = 2,047,186,848.09/51,478
  6. Step 6: Final answer
    x = 39,768.19

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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.