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Finding the Fourth Proportional to 124,005, 186,007.50 and 40,905.48

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Solution

The fourth proportional to 124,005, 186,007.50 and 40,905.48 is: 61,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,005 : 186,007.50 = 40,905.48 : x
  2. Step 2: Convert to fraction form
    124,005/186,007.50 = 40,905.48/x
  3. Step 3: Cross multiply
    124,005x = 186,007.50 × 40,905.48
  4. Step 4: Simplify right side
    124,005x = 7,608,726,071.10
  5. Step 5: Solve for x
    x = 7,608,726,071.10/124,005
  6. Step 6: Final answer
    x = 61,358.22

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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.