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Finding the Fourth Proportional to 77,176.64, 115,764.30 and 60,323.82

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Solution

The fourth proportional to 77,176.64, 115,764.30 and 60,323.82 is: 90,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,176.64 : 115,764.30 = 60,323.82 : x
  2. Step 2: Convert to fraction form
    77,176.64/115,764.30 = 60,323.82/x
  3. Step 3: Cross multiply
    77,176.64x = 115,764.30 × 60,323.82
  4. Step 4: Simplify right side
    77,176.64x = 6,983,345,114.57
  5. Step 5: Solve for x
    x = 6,983,345,114.57/77,176.64
  6. Step 6: Final answer
    x = 90,485.22

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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.