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Finding the Fourth Proportional to 211,258.40, 316,935.60 and 71,031.20

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Solution

The fourth proportional to 211,258.40, 316,935.60 and 71,031.20 is: 106,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,258.40 : 316,935.60 = 71,031.20 : x
  2. Step 2: Convert to fraction form
    211,258.40/316,935.60 = 71,031.20/x
  3. Step 3: Cross multiply
    211,258.40x = 316,935.60 × 71,031.20
  4. Step 4: Simplify right side
    211,258.40x = 22,512,315,990.72
  5. Step 5: Solve for x
    x = 22,512,315,990.72/211,258.40
  6. Step 6: Final answer
    x = 106,562.94

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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.