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Finding the Fourth Proportional to 113,478.76, 170,229.42 and 43,417

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Solution

The fourth proportional to 113,478.76, 170,229.42 and 43,417 is: 65,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,478.76 : 170,229.42 = 43,417 : x
  2. Step 2: Convert to fraction form
    113,478.76/170,229.42 = 43,417/x
  3. Step 3: Cross multiply
    113,478.76x = 170,229.42 × 43,417
  4. Step 4: Simplify right side
    113,478.76x = 7,390,850,728.14
  5. Step 5: Solve for x
    x = 7,390,850,728.14/113,478.76
  6. Step 6: Final answer
    x = 65,129.82

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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.