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Finding the Fourth Proportional to 86,951.60, 130,621.80 and 83,409.20

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Solution

The fourth proportional to 86,951.60, 130,621.80 and 83,409.20 is: 125,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,951.60 : 130,621.80 = 83,409.20 : x
  2. Step 2: Convert to fraction form
    86,951.60/130,621.80 = 83,409.20/x
  3. Step 3: Cross multiply
    86,951.60x = 130,621.80 × 83,409.20
  4. Step 4: Simplify right side
    86,951.60x = 10,895,059,840.56
  5. Step 5: Solve for x
    x = 10,895,059,840.56/86,951.60
  6. Step 6: Final answer
    x = 125,300.28

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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.