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Finding the Fourth Proportional to 208,620.96, 287,711.12 and 163,831.20

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Solution

The fourth proportional to 208,620.96, 287,711.12 and 163,831.20 is: 225,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,620.96 : 287,711.12 = 163,831.20 : x
  2. Step 2: Convert to fraction form
    208,620.96/287,711.12 = 163,831.20/x
  3. Step 3: Cross multiply
    208,620.96x = 287,711.12 × 163,831.20
  4. Step 4: Simplify right side
    208,620.96x = 47,136,058,042.94
  5. Step 5: Solve for x
    x = 47,136,058,042.94/208,620.96
  6. Step 6: Final answer
    x = 225,941.14

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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.