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Finding the Fourth Proportional to 261,882.16, 361,311.16 and 152,961.46

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Solution

The fourth proportional to 261,882.16, 361,311.16 and 152,961.46 is: 211,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,882.16 : 361,311.16 = 152,961.46 : x
  2. Step 2: Convert to fraction form
    261,882.16/361,311.16 = 152,961.46/x
  3. Step 3: Cross multiply
    261,882.16x = 361,311.16 × 152,961.46
  4. Step 4: Simplify right side
    261,882.16x = 55,266,682,547.89
  5. Step 5: Solve for x
    x = 55,266,682,547.89/261,882.16
  6. Step 6: Final answer
    x = 211,036.45

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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.