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Finding the Fourth Proportional to 53,323.86, 79,977.57 and 17,785.80

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Solution

The fourth proportional to 53,323.86, 79,977.57 and 17,785.80 is: 26,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,323.86 : 79,977.57 = 17,785.80 : x
  2. Step 2: Convert to fraction form
    53,323.86/79,977.57 = 17,785.80/x
  3. Step 3: Cross multiply
    53,323.86x = 79,977.57 × 17,785.80
  4. Step 4: Simplify right side
    53,323.86x = 1,422,465,064.51
  5. Step 5: Solve for x
    x = 1,422,465,064.51/53,323.86
  6. Step 6: Final answer
    x = 26,675.96

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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.