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Finding the Fourth Proportional to 77,342.52, 115,845.30 and 47,767.80

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Solution

The fourth proportional to 77,342.52, 115,845.30 and 47,767.80 is: 71,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,342.52 : 115,845.30 = 47,767.80 : x
  2. Step 2: Convert to fraction form
    77,342.52/115,845.30 = 47,767.80/x
  3. Step 3: Cross multiply
    77,342.52x = 115,845.30 × 47,767.80
  4. Step 4: Simplify right side
    77,342.52x = 5,533,675,121.34
  5. Step 5: Solve for x
    x = 5,533,675,121.34/77,342.52
  6. Step 6: Final answer
    x = 71,547.64

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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.