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Finding the Fourth Proportional to 200,359.66, 300,510.06 and 75,671.50

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Solution

The fourth proportional to 200,359.66, 300,510.06 and 75,671.50 is: 113,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,359.66 : 300,510.06 = 75,671.50 : x
  2. Step 2: Convert to fraction form
    200,359.66/300,510.06 = 75,671.50/x
  3. Step 3: Cross multiply
    200,359.66x = 300,510.06 × 75,671.50
  4. Step 4: Simplify right side
    200,359.66x = 22,740,047,005.29
  5. Step 5: Solve for x
    x = 22,740,047,005.29/200,359.66
  6. Step 6: Final answer
    x = 113,496.13

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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.