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Finding the Fourth Proportional to 55,484.40, 83,237.76 and 20,424.24

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Solution

The fourth proportional to 55,484.40, 83,237.76 and 20,424.24 is: 30,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,484.40 : 83,237.76 = 20,424.24 : x
  2. Step 2: Convert to fraction form
    55,484.40/83,237.76 = 20,424.24/x
  3. Step 3: Cross multiply
    55,484.40x = 83,237.76 × 20,424.24
  4. Step 4: Simplify right side
    55,484.40x = 1,700,067,987.30
  5. Step 5: Solve for x
    x = 1,700,067,987.30/55,484.40
  6. Step 6: Final answer
    x = 30,640.47

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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.