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Finding the Fourth Proportional to 185,140.98, 255,494.49 and 100,258.02

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Solution

The fourth proportional to 185,140.98, 255,494.49 and 100,258.02 is: 138,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,140.98 : 255,494.49 = 100,258.02 : x
  2. Step 2: Convert to fraction form
    185,140.98/255,494.49 = 100,258.02/x
  3. Step 3: Cross multiply
    185,140.98x = 255,494.49 × 100,258.02
  4. Step 4: Simplify right side
    185,140.98x = 25,615,371,688.31
  5. Step 5: Solve for x
    x = 25,615,371,688.31/185,140.98
  6. Step 6: Final answer
    x = 138,356.03

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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.