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Finding the Fourth Proportional to 208,257.49, 287,395.54 and 112,763.95

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Solution

The fourth proportional to 208,257.49, 287,395.54 and 112,763.95 is: 155,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,257.49 : 287,395.54 = 112,763.95 : x
  2. Step 2: Convert to fraction form
    208,257.49/287,395.54 = 112,763.95/x
  3. Step 3: Cross multiply
    208,257.49x = 287,395.54 × 112,763.95
  4. Step 4: Simplify right side
    208,257.49x = 32,407,855,738.96
  5. Step 5: Solve for x
    x = 32,407,855,738.96/208,257.49
  6. Step 6: Final answer
    x = 155,614.36

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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.