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Finding the Fourth Proportional to 86,677.80, 130,016.70 and 57,153.30

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Solution

The fourth proportional to 86,677.80, 130,016.70 and 57,153.30 is: 85,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,677.80 : 130,016.70 = 57,153.30 : x
  2. Step 2: Convert to fraction form
    86,677.80/130,016.70 = 57,153.30/x
  3. Step 3: Cross multiply
    86,677.80x = 130,016.70 × 57,153.30
  4. Step 4: Simplify right side
    86,677.80x = 7,430,883,460.11
  5. Step 5: Solve for x
    x = 7,430,883,460.11/86,677.80
  6. Step 6: Final answer
    x = 85,729.95

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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.