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Finding the Fourth Proportional to 178,683.78, 268,019.10 and 45,562.80

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Solution

The fourth proportional to 178,683.78, 268,019.10 and 45,562.80 is: 68,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,683.78 : 268,019.10 = 45,562.80 : x
  2. Step 2: Convert to fraction form
    178,683.78/268,019.10 = 45,562.80/x
  3. Step 3: Cross multiply
    178,683.78x = 268,019.10 × 45,562.80
  4. Step 4: Simplify right side
    178,683.78x = 12,211,700,649.48
  5. Step 5: Solve for x
    x = 12,211,700,649.48/178,683.78
  6. Step 6: Final answer
    x = 68,342.52

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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.