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Finding the Fourth Proportional to 208,219.71, 287,343.30 and 112,726.41

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Solution

The fourth proportional to 208,219.71, 287,343.30 and 112,726.41 is: 155,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,219.71 : 287,343.30 = 112,726.41 : x
  2. Step 2: Convert to fraction form
    208,219.71/287,343.30 = 112,726.41/x
  3. Step 3: Cross multiply
    208,219.71x = 287,343.30 × 112,726.41
  4. Step 4: Simplify right side
    208,219.71x = 32,391,178,646.55
  5. Step 5: Solve for x
    x = 32,391,178,646.55/208,219.71
  6. Step 6: Final answer
    x = 155,562.50

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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.