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Finding the Fourth Proportional to 208,313.04, 287,471.91 and 112,819.74

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Solution

The fourth proportional to 208,313.04, 287,471.91 and 112,819.74 is: 155,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,313.04 : 287,471.91 = 112,819.74 : x
  2. Step 2: Convert to fraction form
    208,313.04/287,471.91 = 112,819.74/x
  3. Step 3: Cross multiply
    208,313.04x = 287,471.91 × 112,819.74
  4. Step 4: Simplify right side
    208,313.04x = 32,432,506,143.50
  5. Step 5: Solve for x
    x = 32,432,506,143.50/208,313.04
  6. Step 6: Final answer
    x = 155,691.20

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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.