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Finding the Fourth Proportional to 114,119.08, 170,820 and 78,371.08

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Solution

The fourth proportional to 114,119.08, 170,820 and 78,371.08 is: 117,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,119.08 : 170,820 = 78,371.08 : x
  2. Step 2: Convert to fraction form
    114,119.08/170,820 = 78,371.08/x
  3. Step 3: Cross multiply
    114,119.08x = 170,820 × 78,371.08
  4. Step 4: Simplify right side
    114,119.08x = 13,387,347,885.60
  5. Step 5: Solve for x
    x = 13,387,347,885.60/114,119.08
  6. Step 6: Final answer
    x = 117,310.34

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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.