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Finding the Fourth Proportional to 208,562, 288,053.16 and 141,377.36

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Solution

The fourth proportional to 208,562, 288,053.16 and 141,377.36 is: 195,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562 : 288,053.16 = 141,377.36 : x
  2. Step 2: Convert to fraction form
    208,562/288,053.16 = 141,377.36/x
  3. Step 3: Cross multiply
    208,562x = 288,053.16 × 141,377.36
  4. Step 4: Simplify right side
    208,562x = 40,724,195,300.46
  5. Step 5: Solve for x
    x = 40,724,195,300.46/208,562
  6. Step 6: Final answer
    x = 195,261.82

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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.