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Finding the Fourth Proportional to 77,424.96, 106,854.54 and 43,442.63

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Solution

The fourth proportional to 77,424.96, 106,854.54 and 43,442.63 is: 59,955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.96 : 106,854.54 = 43,442.63 : x
  2. Step 2: Convert to fraction form
    77,424.96/106,854.54 = 43,442.63/x
  3. Step 3: Cross multiply
    77,424.96x = 106,854.54 × 43,442.63
  4. Step 4: Simplify right side
    77,424.96x = 4,642,042,192.93
  5. Step 5: Solve for x
    x = 4,642,042,192.93/77,424.96
  6. Step 6: Final answer
    x = 59,955.37

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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.