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Finding the Fourth Proportional to 86,984.34, 130,534.92 and 31,580.34

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Solution

The fourth proportional to 86,984.34, 130,534.92 and 31,580.34 is: 47,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984.34 : 130,534.92 = 31,580.34 : x
  2. Step 2: Convert to fraction form
    86,984.34/130,534.92 = 31,580.34/x
  3. Step 3: Cross multiply
    86,984.34x = 130,534.92 × 31,580.34
  4. Step 4: Simplify right side
    86,984.34x = 4,122,337,155.47
  5. Step 5: Solve for x
    x = 4,122,337,155.47/86,984.34
  6. Step 6: Final answer
    x = 47,391.72

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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.