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Finding the Fourth Proportional to 86,708.40, 130,062.60 and 65,713.20

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Solution

The fourth proportional to 86,708.40, 130,062.60 and 65,713.20 is: 98,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,708.40 : 130,062.60 = 65,713.20 : x
  2. Step 2: Convert to fraction form
    86,708.40/130,062.60 = 65,713.20/x
  3. Step 3: Cross multiply
    86,708.40x = 130,062.60 × 65,713.20
  4. Step 4: Simplify right side
    86,708.40x = 8,546,829,646.32
  5. Step 5: Solve for x
    x = 8,546,829,646.32/86,708.40
  6. Step 6: Final answer
    x = 98,569.80

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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.