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Finding the Fourth Proportional to 86,826.32, 130,256.76 and 27,660.08

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Solution

The fourth proportional to 86,826.32, 130,256.76 and 27,660.08 is: 41,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,826.32 : 130,256.76 = 27,660.08 : x
  2. Step 2: Convert to fraction form
    86,826.32/130,256.76 = 27,660.08/x
  3. Step 3: Cross multiply
    86,826.32x = 130,256.76 × 27,660.08
  4. Step 4: Simplify right side
    86,826.32x = 3,602,912,402.14
  5. Step 5: Solve for x
    x = 3,602,912,402.14/86,826.32
  6. Step 6: Final answer
    x = 41,495.62

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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.