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Finding the Fourth Proportional to 111,391.59, 167,097.21 and 31,430.26

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Solution

The fourth proportional to 111,391.59, 167,097.21 and 31,430.26 is: 47,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,391.59 : 167,097.21 = 31,430.26 : x
  2. Step 2: Convert to fraction form
    111,391.59/167,097.21 = 31,430.26/x
  3. Step 3: Cross multiply
    111,391.59x = 167,097.21 × 31,430.26
  4. Step 4: Simplify right side
    111,391.59x = 5,251,909,082.31
  5. Step 5: Solve for x
    x = 5,251,909,082.31/111,391.59
  6. Step 6: Final answer
    x = 47,148.16

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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.