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Finding the Fourth Proportional to 114,586.66, 158,158.66 and 78,302.80

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Solution

The fourth proportional to 114,586.66, 158,158.66 and 78,302.80 is: 108,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,586.66 : 158,158.66 = 78,302.80 : x
  2. Step 2: Convert to fraction form
    114,586.66/158,158.66 = 78,302.80/x
  3. Step 3: Cross multiply
    114,586.66x = 158,158.66 × 78,302.80
  4. Step 4: Simplify right side
    114,586.66x = 12,384,265,726.49
  5. Step 5: Solve for x
    x = 12,384,265,726.49/114,586.66
  6. Step 6: Final answer
    x = 108,077.73

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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.