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Finding the Fourth Proportional to 154,461.60, 231,886.80 and 83,440.80

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Solution

The fourth proportional to 154,461.60, 231,886.80 and 83,440.80 is: 125,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461.60 : 231,886.80 = 83,440.80 : x
  2. Step 2: Convert to fraction form
    154,461.60/231,886.80 = 83,440.80/x
  3. Step 3: Cross multiply
    154,461.60x = 231,886.80 × 83,440.80
  4. Step 4: Simplify right side
    154,461.60x = 19,348,820,101.44
  5. Step 5: Solve for x
    x = 19,348,820,101.44/154,461.60
  6. Step 6: Final answer
    x = 125,266.22

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1.5x scale

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.