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Finding the Fourth Proportional to 219,471.30, 329,206.95 and 61,699.76

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Solution

The fourth proportional to 219,471.30, 329,206.95 and 61,699.76 is: 92,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,471.30 : 329,206.95 = 61,699.76 : x
  2. Step 2: Convert to fraction form
    219,471.30/329,206.95 = 61,699.76/x
  3. Step 3: Cross multiply
    219,471.30x = 329,206.95 × 61,699.76
  4. Step 4: Simplify right side
    219,471.30x = 20,311,988,159.30
  5. Step 5: Solve for x
    x = 20,311,988,159.30/219,471.30
  6. Step 6: Final answer
    x = 92,549.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.