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Finding the Fourth Proportional to 113,843.20, 170,782.80 and 38,970.40

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Solution

The fourth proportional to 113,843.20, 170,782.80 and 38,970.40 is: 58,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,843.20 : 170,782.80 = 38,970.40 : x
  2. Step 2: Convert to fraction form
    113,843.20/170,782.80 = 38,970.40/x
  3. Step 3: Cross multiply
    113,843.20x = 170,782.80 × 38,970.40
  4. Step 4: Simplify right side
    113,843.20x = 6,655,474,029.12
  5. Step 5: Solve for x
    x = 6,655,474,029.12/113,843.20
  6. Step 6: Final answer
    x = 58,461.76

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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.