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Finding the Fourth Proportional to 77,456.40, 116,200.80 and 24,871.20

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Solution

The fourth proportional to 77,456.40, 116,200.80 and 24,871.20 is: 37,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456.40 : 116,200.80 = 24,871.20 : x
  2. Step 2: Convert to fraction form
    77,456.40/116,200.80 = 24,871.20/x
  3. Step 3: Cross multiply
    77,456.40x = 116,200.80 × 24,871.20
  4. Step 4: Simplify right side
    77,456.40x = 2,890,053,336.96
  5. Step 5: Solve for x
    x = 2,890,053,336.96/77,456.40
  6. Step 6: Final answer
    x = 37,312.00

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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.