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Finding the Fourth Proportional to 206,602.08, 309,862.28 and 56,803.72

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Solution

The fourth proportional to 206,602.08, 309,862.28 and 56,803.72 is: 85,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,602.08 : 309,862.28 = 56,803.72 : x
  2. Step 2: Convert to fraction form
    206,602.08/309,862.28 = 56,803.72/x
  3. Step 3: Cross multiply
    206,602.08x = 309,862.28 × 56,803.72
  4. Step 4: Simplify right side
    206,602.08x = 17,601,330,191.68
  5. Step 5: Solve for x
    x = 17,601,330,191.68/206,602.08
  6. Step 6: Final answer
    x = 85,194.35

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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.