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Finding the Fourth Proportional to 205,510.70, 308,266.05 and 117,037.10

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Solution

The fourth proportional to 205,510.70, 308,266.05 and 117,037.10 is: 175,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,510.70 : 308,266.05 = 117,037.10 : x
  2. Step 2: Convert to fraction form
    205,510.70/308,266.05 = 117,037.10/x
  3. Step 3: Cross multiply
    205,510.70x = 308,266.05 × 117,037.10
  4. Step 4: Simplify right side
    205,510.70x = 36,078,564,520.46
  5. Step 5: Solve for x
    x = 36,078,564,520.46/205,510.70
  6. Step 6: Final answer
    x = 175,555.65

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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.