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Finding the Fourth Proportional to 251,851.34, 377,686.28 and 83,340.56

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Solution

The fourth proportional to 251,851.34, 377,686.28 and 83,340.56 is: 124,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,851.34 : 377,686.28 = 83,340.56 : x
  2. Step 2: Convert to fraction form
    251,851.34/377,686.28 = 83,340.56/x
  3. Step 3: Cross multiply
    251,851.34x = 377,686.28 × 83,340.56
  4. Step 4: Simplify right side
    251,851.34x = 31,476,583,774.38
  5. Step 5: Solve for x
    x = 31,476,583,774.38/251,851.34
  6. Step 6: Final answer
    x = 124,980.81

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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.