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Finding the Fourth Proportional to 114,291.40, 171,437.10 and 40,419.40

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Solution

The fourth proportional to 114,291.40, 171,437.10 and 40,419.40 is: 60,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,291.40 : 171,437.10 = 40,419.40 : x
  2. Step 2: Convert to fraction form
    114,291.40/171,437.10 = 40,419.40/x
  3. Step 3: Cross multiply
    114,291.40x = 171,437.10 × 40,419.40
  4. Step 4: Simplify right side
    114,291.40x = 6,929,384,719.74
  5. Step 5: Solve for x
    x = 6,929,384,719.74/114,291.40
  6. Step 6: Final answer
    x = 60,629.10

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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.