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Finding the Fourth Proportional to 115,978.15, 160,047.13 and 68,234.57

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Solution

The fourth proportional to 115,978.15, 160,047.13 and 68,234.57 is: 94,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,978.15 : 160,047.13 = 68,234.57 : x
  2. Step 2: Convert to fraction form
    115,978.15/160,047.13 = 68,234.57/x
  3. Step 3: Cross multiply
    115,978.15x = 160,047.13 × 68,234.57
  4. Step 4: Simplify right side
    115,978.15x = 10,920,746,124.46
  5. Step 5: Solve for x
    x = 10,920,746,124.46/115,978.15
  6. Step 6: Final answer
    x = 94,162.10

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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.