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Finding the Fourth Proportional to 81,766.40, 122,390.40 and 58,438.40

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Solution

The fourth proportional to 81,766.40, 122,390.40 and 58,438.40 is: 87,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,766.40 : 122,390.40 = 58,438.40 : x
  2. Step 2: Convert to fraction form
    81,766.40/122,390.40 = 58,438.40/x
  3. Step 3: Cross multiply
    81,766.40x = 122,390.40 × 58,438.40
  4. Step 4: Simplify right side
    81,766.40x = 7,152,299,151.36
  5. Step 5: Solve for x
    x = 7,152,299,151.36/81,766.40
  6. Step 6: Final answer
    x = 87,472.35

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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.