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Finding the Fourth Proportional to 86,838.60, 130,265.10 and 27,672.60

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Solution

The fourth proportional to 86,838.60, 130,265.10 and 27,672.60 is: 41,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,838.60 : 130,265.10 = 27,672.60 : x
  2. Step 2: Convert to fraction form
    86,838.60/130,265.10 = 27,672.60/x
  3. Step 3: Cross multiply
    86,838.60x = 130,265.10 × 27,672.60
  4. Step 4: Simplify right side
    86,838.60x = 3,604,774,006.26
  5. Step 5: Solve for x
    x = 3,604,774,006.26/86,838.60
  6. Step 6: Final answer
    x = 41,511.19

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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.