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Finding the Fourth Proportional to 256,068.32, 353,339.16 and 142,869.20

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Solution

The fourth proportional to 256,068.32, 353,339.16 and 142,869.20 is: 197,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,068.32 : 353,339.16 = 142,869.20 : x
  2. Step 2: Convert to fraction form
    256,068.32/353,339.16 = 142,869.20/x
  3. Step 3: Cross multiply
    256,068.32x = 353,339.16 × 142,869.20
  4. Step 4: Simplify right side
    256,068.32x = 50,481,283,117.87
  5. Step 5: Solve for x
    x = 50,481,283,117.87/256,068.32
  6. Step 6: Final answer
    x = 197,139.90

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1.5x scale

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.