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Finding the Fourth Proportional to 86,895.25, 130,053.57 and 65,718.61

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Solution

The fourth proportional to 86,895.25, 130,053.57 and 65,718.61 is: 98,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,895.25 : 130,053.57 = 65,718.61 : x
  2. Step 2: Convert to fraction form
    86,895.25/130,053.57 = 65,718.61/x
  3. Step 3: Cross multiply
    86,895.25x = 130,053.57 × 65,718.61
  4. Step 4: Simplify right side
    86,895.25x = 8,546,939,845.94
  5. Step 5: Solve for x
    x = 8,546,939,845.94/86,895.25
  6. Step 6: Final answer
    x = 98,359.11

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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.