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Finding the Fourth Proportional to 208,306.56, 287,461.44 and 112,812.96

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Solution

The fourth proportional to 208,306.56, 287,461.44 and 112,812.96 is: 155,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,306.56 : 287,461.44 = 112,812.96 : x
  2. Step 2: Convert to fraction form
    208,306.56/287,461.44 = 112,812.96/x
  3. Step 3: Cross multiply
    208,306.56x = 287,461.44 × 112,812.96
  4. Step 4: Simplify right side
    208,306.56x = 32,429,375,932.26
  5. Step 5: Solve for x
    x = 32,429,375,932.26/208,306.56
  6. Step 6: Final answer
    x = 155,681.01

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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.