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Finding the Fourth Proportional to 87,216.40, 130,970.40 and 57,764.80

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Solution

The fourth proportional to 87,216.40, 130,970.40 and 57,764.80 is: 86,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,216.40 : 130,970.40 = 57,764.80 : x
  2. Step 2: Convert to fraction form
    87,216.40/130,970.40 = 57,764.80/x
  3. Step 3: Cross multiply
    87,216.40x = 130,970.40 × 57,764.80
  4. Step 4: Simplify right side
    87,216.40x = 7,565,478,961.92
  5. Step 5: Solve for x
    x = 7,565,478,961.92/87,216.40
  6. Step 6: Final answer
    x = 86,743.77

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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.