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Finding the Fourth Proportional to 114,115.08, 170,814 and 78,367.08

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Solution

The fourth proportional to 114,115.08, 170,814 and 78,367.08 is: 117,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115.08 : 170,814 = 78,367.08 : x
  2. Step 2: Convert to fraction form
    114,115.08/170,814 = 78,367.08/x
  3. Step 3: Cross multiply
    114,115.08x = 170,814 × 78,367.08
  4. Step 4: Simplify right side
    114,115.08x = 13,386,194,403.12
  5. Step 5: Solve for x
    x = 13,386,194,403.12/114,115.08
  6. Step 6: Final answer
    x = 117,304.34

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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.