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Finding the Fourth Proportional to 123,920.34, 185,775.99 and 53,746.80

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Solution

The fourth proportional to 123,920.34, 185,775.99 and 53,746.80 is: 80,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,920.34 : 185,775.99 = 53,746.80 : x
  2. Step 2: Convert to fraction form
    123,920.34/185,775.99 = 53,746.80/x
  3. Step 3: Cross multiply
    123,920.34x = 185,775.99 × 53,746.80
  4. Step 4: Simplify right side
    123,920.34x = 9,984,864,979.33
  5. Step 5: Solve for x
    x = 9,984,864,979.33/123,920.34
  6. Step 6: Final answer
    x = 80,574.87

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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.