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Finding the Fourth Proportional to 86,478.40, 119,347.44 and 48,760.48

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Solution

The fourth proportional to 86,478.40, 119,347.44 and 48,760.48 is: 67,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,478.40 : 119,347.44 = 48,760.48 : x
  2. Step 2: Convert to fraction form
    86,478.40/119,347.44 = 48,760.48/x
  3. Step 3: Cross multiply
    86,478.40x = 119,347.44 × 48,760.48
  4. Step 4: Simplify right side
    86,478.40x = 5,819,438,461.17
  5. Step 5: Solve for x
    x = 5,819,438,461.17/86,478.40
  6. Step 6: Final answer
    x = 67,293.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.