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Finding the Fourth Proportional to 100,410.78, 150,641.10 and 49,833.55

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Solution

The fourth proportional to 100,410.78, 150,641.10 and 49,833.55 is: 74,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.78 : 150,641.10 = 49,833.55 : x
  2. Step 2: Convert to fraction form
    100,410.78/150,641.10 = 49,833.55/x
  3. Step 3: Cross multiply
    100,410.78x = 150,641.10 × 49,833.55
  4. Step 4: Simplify right side
    100,410.78x = 7,506,980,788.91
  5. Step 5: Solve for x
    x = 7,506,980,788.91/100,410.78
  6. Step 6: Final answer
    x = 74,762.70

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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.