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Finding the Fourth Proportional to 187,146.83, 280,831.42 and 68,901.21

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Solution

The fourth proportional to 187,146.83, 280,831.42 and 68,901.21 is: 103,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,146.83 : 280,831.42 = 68,901.21 : x
  2. Step 2: Convert to fraction form
    187,146.83/280,831.42 = 68,901.21/x
  3. Step 3: Cross multiply
    187,146.83x = 280,831.42 × 68,901.21
  4. Step 4: Simplify right side
    187,146.83x = 19,349,624,730.14
  5. Step 5: Solve for x
    x = 19,349,624,730.14/187,146.83
  6. Step 6: Final answer
    x = 103,392.74

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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.