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Finding the Fourth Proportional to 52,612.80, 78,886.80 and 30,415.20

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Solution

The fourth proportional to 52,612.80, 78,886.80 and 30,415.20 is: 45,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612.80 : 78,886.80 = 30,415.20 : x
  2. Step 2: Convert to fraction form
    52,612.80/78,886.80 = 30,415.20/x
  3. Step 3: Cross multiply
    52,612.80x = 78,886.80 × 30,415.20
  4. Step 4: Simplify right side
    52,612.80x = 2,399,357,799.36
  5. Step 5: Solve for x
    x = 2,399,357,799.36/52,612.80
  6. Step 6: Final answer
    x = 45,604.07

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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.