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Finding the Fourth Proportional to 75,612.80, 113,386.80 and 31,224.80

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Solution

The fourth proportional to 75,612.80, 113,386.80 and 31,224.80 is: 46,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,612.80 : 113,386.80 = 31,224.80 : x
  2. Step 2: Convert to fraction form
    75,612.80/113,386.80 = 31,224.80/x
  3. Step 3: Cross multiply
    75,612.80x = 113,386.80 × 31,224.80
  4. Step 4: Simplify right side
    75,612.80x = 3,540,480,152.64
  5. Step 5: Solve for x
    x = 3,540,480,152.64/75,612.80
  6. Step 6: Final answer
    x = 46,823.82

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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.