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Finding the Fourth Proportional to 77,434.65, 116,105.50 and 26,817

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Solution

The fourth proportional to 77,434.65, 116,105.50 and 26,817 is: 40,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434.65 : 116,105.50 = 26,817 : x
  2. Step 2: Convert to fraction form
    77,434.65/116,105.50 = 26,817/x
  3. Step 3: Cross multiply
    77,434.65x = 116,105.50 × 26,817
  4. Step 4: Simplify right side
    77,434.65x = 3,113,601,193.50
  5. Step 5: Solve for x
    x = 3,113,601,193.50/77,434.65
  6. Step 6: Final answer
    x = 40,209.40

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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.