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Finding the Fourth Proportional to 115,228, 159,014.66 and 62,236

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Solution

The fourth proportional to 115,228, 159,014.66 and 62,236 is: 85,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,228 : 159,014.66 = 62,236 : x
  2. Step 2: Convert to fraction form
    115,228/159,014.66 = 62,236/x
  3. Step 3: Cross multiply
    115,228x = 159,014.66 × 62,236
  4. Step 4: Simplify right side
    115,228x = 9,896,436,379.76
  5. Step 5: Solve for x
    x = 9,896,436,379.76/115,228
  6. Step 6: Final answer
    x = 85,885.69

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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.