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Finding the Fourth Proportional to 84,142.80, 126,276.75 and 39,783.15

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Solution

The fourth proportional to 84,142.80, 126,276.75 and 39,783.15 is: 59,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.80 : 126,276.75 = 39,783.15 : x
  2. Step 2: Convert to fraction form
    84,142.80/126,276.75 = 39,783.15/x
  3. Step 3: Cross multiply
    84,142.80x = 126,276.75 × 39,783.15
  4. Step 4: Simplify right side
    84,142.80x = 5,023,686,886.76
  5. Step 5: Solve for x
    x = 5,023,686,886.76/84,142.80
  6. Step 6: Final answer
    x = 59,704.30

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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.