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Finding the Fourth Proportional to 77,071.68, 115,631.12 and 69,123.96

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Solution

The fourth proportional to 77,071.68, 115,631.12 and 69,123.96 is: 103,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071.68 : 115,631.12 = 69,123.96 : x
  2. Step 2: Convert to fraction form
    77,071.68/115,631.12 = 69,123.96/x
  3. Step 3: Cross multiply
    77,071.68x = 115,631.12 × 69,123.96
  4. Step 4: Simplify right side
    77,071.68x = 7,992,880,913.64
  5. Step 5: Solve for x
    x = 7,992,880,913.64/77,071.68
  6. Step 6: Final answer
    x = 103,707.11

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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.