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Finding the Fourth Proportional to 208,433.22, 287,737.02 and 139,641.13

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Solution

The fourth proportional to 208,433.22, 287,737.02 and 139,641.13 is: 192,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,433.22 : 287,737.02 = 139,641.13 : x
  2. Step 2: Convert to fraction form
    208,433.22/287,737.02 = 139,641.13/x
  3. Step 3: Cross multiply
    208,433.22x = 287,737.02 × 139,641.13
  4. Step 4: Simplify right side
    208,433.22x = 40,179,922,615.63
  5. Step 5: Solve for x
    x = 40,179,922,615.63/208,433.22
  6. Step 6: Final answer
    x = 192,771.20

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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.