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Finding the Fourth Proportional to 206,686.75, 310,031.81 and 56,935.30

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Solution

The fourth proportional to 206,686.75, 310,031.81 and 56,935.30 is: 85,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686.75 : 310,031.81 = 56,935.30 : x
  2. Step 2: Convert to fraction form
    206,686.75/310,031.81 = 56,935.30/x
  3. Step 3: Cross multiply
    206,686.75x = 310,031.81 × 56,935.30
  4. Step 4: Simplify right side
    206,686.75x = 17,651,754,111.89
  5. Step 5: Solve for x
    x = 17,651,754,111.89/206,686.75
  6. Step 6: Final answer
    x = 85,403.41

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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.