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Finding the Fourth Proportional to 125,182.08, 186,802.56 and 111,888

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Solution

The fourth proportional to 125,182.08, 186,802.56 and 111,888 is: 166,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,182.08 : 186,802.56 = 111,888 : x
  2. Step 2: Convert to fraction form
    125,182.08/186,802.56 = 111,888/x
  3. Step 3: Cross multiply
    125,182.08x = 186,802.56 × 111,888
  4. Step 4: Simplify right side
    125,182.08x = 20,900,964,833.28
  5. Step 5: Solve for x
    x = 20,900,964,833.28/125,182.08
  6. Step 6: Final answer
    x = 166,964.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.