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Finding the Fourth Proportional to 185,852.31, 256,467.90 and 105,278.20

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Solution

The fourth proportional to 185,852.31, 256,467.90 and 105,278.20 is: 145,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,852.31 : 256,467.90 = 105,278.20 : x
  2. Step 2: Convert to fraction form
    185,852.31/256,467.90 = 105,278.20/x
  3. Step 3: Cross multiply
    185,852.31x = 256,467.90 × 105,278.20
  4. Step 4: Simplify right side
    185,852.31x = 27,000,478,623.40
  5. Step 5: Solve for x
    x = 27,000,478,623.40/185,852.31
  6. Step 6: Final answer
    x = 145,279.22

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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.