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Finding the Fourth Proportional to 77,414.77, 106,831.95 and 42,959.16

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Solution

The fourth proportional to 77,414.77, 106,831.95 and 42,959.16 is: 59,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414.77 : 106,831.95 = 42,959.16 : x
  2. Step 2: Convert to fraction form
    77,414.77/106,831.95 = 42,959.16/x
  3. Step 3: Cross multiply
    77,414.77x = 106,831.95 × 42,959.16
  4. Step 4: Simplify right side
    77,414.77x = 4,589,410,672.07
  5. Step 5: Solve for x
    x = 4,589,410,672.07/77,414.77
  6. Step 6: Final answer
    x = 59,283.40

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1.5x scale

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.