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Finding the Fourth Proportional to 55,642.90, 83,649.04 and 51,533.78

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Solution

The fourth proportional to 55,642.90, 83,649.04 and 51,533.78 is: 77,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642.90 : 83,649.04 = 51,533.78 : x
  2. Step 2: Convert to fraction form
    55,642.90/83,649.04 = 51,533.78/x
  3. Step 3: Cross multiply
    55,642.90x = 83,649.04 × 51,533.78
  4. Step 4: Simplify right side
    55,642.90x = 4,310,751,224.57
  5. Step 5: Solve for x
    x = 4,310,751,224.57/55,642.90
  6. Step 6: Final answer
    x = 77,471.72

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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.