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Finding the Fourth Proportional to 99,831.32, 137,767.52 and 54,509.70

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Solution

The fourth proportional to 99,831.32, 137,767.52 and 54,509.70 is: 75,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.32 : 137,767.52 = 54,509.70 : x
  2. Step 2: Convert to fraction form
    99,831.32/137,767.52 = 54,509.70/x
  3. Step 3: Cross multiply
    99,831.32x = 137,767.52 × 54,509.70
  4. Step 4: Simplify right side
    99,831.32x = 7,509,666,184.94
  5. Step 5: Solve for x
    x = 7,509,666,184.94/99,831.32
  6. Step 6: Final answer
    x = 75,223.55

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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.