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Finding the Fourth Proportional to 126,657, 174,771.47 and 72,959.47

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Solution

The fourth proportional to 126,657, 174,771.47 and 72,959.47 is: 100,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,657 : 174,771.47 = 72,959.47 : x
  2. Step 2: Convert to fraction form
    126,657/174,771.47 = 72,959.47/x
  3. Step 3: Cross multiply
    126,657x = 174,771.47 × 72,959.47
  4. Step 4: Simplify right side
    126,657x = 12,751,233,567.79
  5. Step 5: Solve for x
    x = 12,751,233,567.79/126,657
  6. Step 6: Final answer
    x = 100,675.32

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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.