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Finding the Fourth Proportional to 189,957.64, 284,831.22 and 77,716.65

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Solution

The fourth proportional to 189,957.64, 284,831.22 and 77,716.65 is: 116,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,957.64 : 284,831.22 = 77,716.65 : x
  2. Step 2: Convert to fraction form
    189,957.64/284,831.22 = 77,716.65/x
  3. Step 3: Cross multiply
    189,957.64x = 284,831.22 × 77,716.65
  4. Step 4: Simplify right side
    189,957.64x = 22,136,128,233.81
  5. Step 5: Solve for x
    x = 22,136,128,233.81/189,957.64
  6. Step 6: Final answer
    x = 116,531.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.