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Finding the Fourth Proportional to 114,389.62, 171,580.28 and 30,148.40

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Solution

The fourth proportional to 114,389.62, 171,580.28 and 30,148.40 is: 45,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,389.62 : 171,580.28 = 30,148.40 : x
  2. Step 2: Convert to fraction form
    114,389.62/171,580.28 = 30,148.40/x
  3. Step 3: Cross multiply
    114,389.62x = 171,580.28 × 30,148.40
  4. Step 4: Simplify right side
    114,389.62x = 5,172,871,191.76
  5. Step 5: Solve for x
    x = 5,172,871,191.76/114,389.62
  6. Step 6: Final answer
    x = 45,221.51

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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.