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Finding the Fourth Proportional to 208,222.62, 287,347.30 and 112,729.29

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Solution

The fourth proportional to 208,222.62, 287,347.30 and 112,729.29 is: 155,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.62 : 287,347.30 = 112,729.29 : x
  2. Step 2: Convert to fraction form
    208,222.62/287,347.30 = 112,729.29/x
  3. Step 3: Cross multiply
    208,222.62x = 287,347.30 × 112,729.29
  4. Step 4: Simplify right side
    208,222.62x = 32,392,455,753.04
  5. Step 5: Solve for x
    x = 32,392,455,753.04/208,222.62
  6. Step 6: Final answer
    x = 155,566.46

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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.