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Finding the Fourth Proportional to 77,412.88, 106,831.02 and 43,428.93

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Solution

The fourth proportional to 77,412.88, 106,831.02 and 43,428.93 is: 59,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412.88 : 106,831.02 = 43,428.93 : x
  2. Step 2: Convert to fraction form
    77,412.88/106,831.02 = 43,428.93/x
  3. Step 3: Cross multiply
    77,412.88x = 106,831.02 × 43,428.93
  4. Step 4: Simplify right side
    77,412.88x = 4,639,556,889.41
  5. Step 5: Solve for x
    x = 4,639,556,889.41/77,412.88
  6. Step 6: Final answer
    x = 59,932.62

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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.