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Finding the Fourth Proportional to 310,786.65, 466,133.84 and 86,123.66

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Solution

The fourth proportional to 310,786.65, 466,133.84 and 86,123.66 is: 129,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,786.65 : 466,133.84 = 86,123.66 : x
  2. Step 2: Convert to fraction form
    310,786.65/466,133.84 = 86,123.66/x
  3. Step 3: Cross multiply
    310,786.65x = 466,133.84 × 86,123.66
  4. Step 4: Simplify right side
    310,786.65x = 40,145,151,878.83
  5. Step 5: Solve for x
    x = 40,145,151,878.83/310,786.65
  6. Step 6: Final answer
    x = 129,172.70

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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.