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Finding the Fourth Proportional to 210,872.70, 315,959.13 and 148,411.98

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Solution

The fourth proportional to 210,872.70, 315,959.13 and 148,411.98 is: 222,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,872.70 : 315,959.13 = 148,411.98 : x
  2. Step 2: Convert to fraction form
    210,872.70/315,959.13 = 148,411.98/x
  3. Step 3: Cross multiply
    210,872.70x = 315,959.13 × 148,411.98
  4. Step 4: Simplify right side
    210,872.70x = 46,892,120,082.38
  5. Step 5: Solve for x
    x = 46,892,120,082.38/210,872.70
  6. Step 6: Final answer
    x = 222,371.70

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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.