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Finding the Fourth Proportional to 55,291, 76,301.60 and 31,417.70

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Solution

The fourth proportional to 55,291, 76,301.60 and 31,417.70 is: 43,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291 : 76,301.60 = 31,417.70 : x
  2. Step 2: Convert to fraction form
    55,291/76,301.60 = 31,417.70/x
  3. Step 3: Cross multiply
    55,291x = 76,301.60 × 31,417.70
  4. Step 4: Simplify right side
    55,291x = 2,397,220,778.32
  5. Step 5: Solve for x
    x = 2,397,220,778.32/55,291
  6. Step 6: Final answer
    x = 43,356.44

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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.