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Finding the Fourth Proportional to 115,049.55, 158,817.37 and 77,345.67

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Solution

The fourth proportional to 115,049.55, 158,817.37 and 77,345.67 is: 106,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,049.55 : 158,817.37 = 77,345.67 : x
  2. Step 2: Convert to fraction form
    115,049.55/158,817.37 = 77,345.67/x
  3. Step 3: Cross multiply
    115,049.55x = 158,817.37 × 77,345.67
  4. Step 4: Simplify right side
    115,049.55x = 12,283,835,890.29
  5. Step 5: Solve for x
    x = 12,283,835,890.29/115,049.55
  6. Step 6: Final answer
    x = 106,769.96

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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.