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Finding the Fourth Proportional to 77,065.68, 106,347.28 and 43,074

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Solution

The fourth proportional to 77,065.68, 106,347.28 and 43,074 is: 59,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,065.68 : 106,347.28 = 43,074 : x
  2. Step 2: Convert to fraction form
    77,065.68/106,347.28 = 43,074/x
  3. Step 3: Cross multiply
    77,065.68x = 106,347.28 × 43,074
  4. Step 4: Simplify right side
    77,065.68x = 4,580,802,738.72
  5. Step 5: Solve for x
    x = 4,580,802,738.72/77,065.68
  6. Step 6: Final answer
    x = 59,440.24

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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.