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Finding the Fourth Proportional to 251,871.96, 377,895.40 and 111,729

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Solution

The fourth proportional to 251,871.96, 377,895.40 and 111,729 is: 167,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,871.96 : 377,895.40 = 111,729 : x
  2. Step 2: Convert to fraction form
    251,871.96/377,895.40 = 111,729/x
  3. Step 3: Cross multiply
    251,871.96x = 377,895.40 × 111,729
  4. Step 4: Simplify right side
    251,871.96x = 42,221,875,146.60
  5. Step 5: Solve for x
    x = 42,221,875,146.60/251,871.96
  6. Step 6: Final answer
    x = 167,632.30

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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.