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Finding the Fourth Proportional to 77,409.90, 106,831.71 and 43,426.01

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Solution

The fourth proportional to 77,409.90, 106,831.71 and 43,426.01 is: 59,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409.90 : 106,831.71 = 43,426.01 : x
  2. Step 2: Convert to fraction form
    77,409.90/106,831.71 = 43,426.01/x
  3. Step 3: Cross multiply
    77,409.90x = 106,831.71 × 43,426.01
  4. Step 4: Simplify right side
    77,409.90x = 4,639,275,173.86
  5. Step 5: Solve for x
    x = 4,639,275,173.86/77,409.90
  6. Step 6: Final answer
    x = 59,931.29

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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.