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Finding the Fourth Proportional to 86,819.10, 130,228.65 and 31,407.90

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Solution

The fourth proportional to 86,819.10, 130,228.65 and 31,407.90 is: 47,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,819.10 : 130,228.65 = 31,407.90 : x
  2. Step 2: Convert to fraction form
    86,819.10/130,228.65 = 31,407.90/x
  3. Step 3: Cross multiply
    86,819.10x = 130,228.65 × 31,407.90
  4. Step 4: Simplify right side
    86,819.10x = 4,090,208,416.34
  5. Step 5: Solve for x
    x = 4,090,208,416.34/86,819.10
  6. Step 6: Final answer
    x = 47,111.85

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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.