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Finding the Fourth Proportional to 145,049.64, 200,243.66 and 112,712.01

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Solution

The fourth proportional to 145,049.64, 200,243.66 and 112,712.01 is: 155,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,049.64 : 200,243.66 = 112,712.01 : x
  2. Step 2: Convert to fraction form
    145,049.64/200,243.66 = 112,712.01/x
  3. Step 3: Cross multiply
    145,049.64x = 200,243.66 × 112,712.01
  4. Step 4: Simplify right side
    145,049.64x = 22,569,864,844.80
  5. Step 5: Solve for x
    x = 22,569,864,844.80/145,049.64
  6. Step 6: Final answer
    x = 155,600.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.