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Finding the Fourth Proportional to 123,390.81, 185,159.94 and 113,352.48

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Solution

The fourth proportional to 123,390.81, 185,159.94 and 113,352.48 is: 170,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,390.81 : 185,159.94 = 113,352.48 : x
  2. Step 2: Convert to fraction form
    123,390.81/185,159.94 = 113,352.48/x
  3. Step 3: Cross multiply
    123,390.81x = 185,159.94 × 113,352.48
  4. Step 4: Simplify right side
    123,390.81x = 20,988,338,395.65
  5. Step 5: Solve for x
    x = 20,988,338,395.65/123,390.81
  6. Step 6: Final answer
    x = 170,096.45

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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.