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Finding the Fourth Proportional to 102,801.74, 141,873.46 and 57,478.80

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Solution

The fourth proportional to 102,801.74, 141,873.46 and 57,478.80 is: 79,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,801.74 : 141,873.46 = 57,478.80 : x
  2. Step 2: Convert to fraction form
    102,801.74/141,873.46 = 57,478.80/x
  3. Step 3: Cross multiply
    102,801.74x = 141,873.46 × 57,478.80
  4. Step 4: Simplify right side
    102,801.74x = 8,154,716,232.65
  5. Step 5: Solve for x
    x = 8,154,716,232.65/102,801.74
  6. Step 6: Final answer
    x = 79,324.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.