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Finding the Fourth Proportional to 211,471.55, 317,278.40 and 78,362.53

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Solution

The fourth proportional to 211,471.55, 317,278.40 and 78,362.53 is: 117,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471.55 : 317,278.40 = 78,362.53 : x
  2. Step 2: Convert to fraction form
    211,471.55/317,278.40 = 78,362.53/x
  3. Step 3: Cross multiply
    211,471.55x = 317,278.40 × 78,362.53
  4. Step 4: Simplify right side
    211,471.55x = 24,862,738,138.35
  5. Step 5: Solve for x
    x = 24,862,738,138.35/211,471.55
  6. Step 6: Final answer
    x = 117,570.13

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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.