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Finding the Fourth Proportional to 126,782.74, 174,962.87 and 69,424.48

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Solution

The fourth proportional to 126,782.74, 174,962.87 and 69,424.48 is: 95,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,782.74 : 174,962.87 = 69,424.48 : x
  2. Step 2: Convert to fraction form
    126,782.74/174,962.87 = 69,424.48/x
  3. Step 3: Cross multiply
    126,782.74x = 174,962.87 × 69,424.48
  4. Step 4: Simplify right side
    126,782.74x = 12,146,706,269.06
  5. Step 5: Solve for x
    x = 12,146,706,269.06/126,782.74
  6. Step 6: Final answer
    x = 95,807.25

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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.