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Finding the Fourth Proportional to 77,029.38, 106,299.74 and 45,192.20

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Solution

The fourth proportional to 77,029.38, 106,299.74 and 45,192.20 is: 62,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,029.38 : 106,299.74 = 45,192.20 : x
  2. Step 2: Convert to fraction form
    77,029.38/106,299.74 = 45,192.20/x
  3. Step 3: Cross multiply
    77,029.38x = 106,299.74 × 45,192.20
  4. Step 4: Simplify right side
    77,029.38x = 4,803,918,691.51
  5. Step 5: Solve for x
    x = 4,803,918,691.51/77,029.38
  6. Step 6: Final answer
    x = 62,364.76

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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.