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Finding the Fourth Proportional to 256,947.48, 385,585.74 and 138,701.16

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Solution

The fourth proportional to 256,947.48, 385,585.74 and 138,701.16 is: 208,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,947.48 : 385,585.74 = 138,701.16 : x
  2. Step 2: Convert to fraction form
    256,947.48/385,585.74 = 138,701.16/x
  3. Step 3: Cross multiply
    256,947.48x = 385,585.74 × 138,701.16
  4. Step 4: Simplify right side
    256,947.48x = 53,481,189,417.46
  5. Step 5: Solve for x
    x = 53,481,189,417.46/256,947.48
  6. Step 6: Final answer
    x = 208,140.55

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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.