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Finding the Fourth Proportional to 31,195.80, 46,720.80 and 30,569.40

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Solution

The fourth proportional to 31,195.80, 46,720.80 and 30,569.40 is: 45,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.80 : 46,720.80 = 30,569.40 : x
  2. Step 2: Convert to fraction form
    31,195.80/46,720.80 = 30,569.40/x
  3. Step 3: Cross multiply
    31,195.80x = 46,720.80 × 30,569.40
  4. Step 4: Simplify right side
    31,195.80x = 1,428,226,823.52
  5. Step 5: Solve for x
    x = 1,428,226,823.52/31,195.80
  6. Step 6: Final answer
    x = 45,782.66

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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.