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Finding the Fourth Proportional to 77,947.68, 116,892.65 and 28,014.32

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Solution

The fourth proportional to 77,947.68, 116,892.65 and 28,014.32 is: 42,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,947.68 : 116,892.65 = 28,014.32 : x
  2. Step 2: Convert to fraction form
    77,947.68/116,892.65 = 28,014.32/x
  3. Step 3: Cross multiply
    77,947.68x = 116,892.65 × 28,014.32
  4. Step 4: Simplify right side
    77,947.68x = 3,274,668,102.75
  5. Step 5: Solve for x
    x = 3,274,668,102.75/77,947.68
  6. Step 6: Final answer
    x = 42,011.10

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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.