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Finding the Fourth Proportional to 206,710.90, 310,066.35 and 192,714.10

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Solution

The fourth proportional to 206,710.90, 310,066.35 and 192,714.10 is: 289,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,710.90 : 310,066.35 = 192,714.10 : x
  2. Step 2: Convert to fraction form
    206,710.90/310,066.35 = 192,714.10/x
  3. Step 3: Cross multiply
    206,710.90x = 310,066.35 × 192,714.10
  4. Step 4: Simplify right side
    206,710.90x = 59,754,157,580.54
  5. Step 5: Solve for x
    x = 59,754,157,580.54/206,710.90
  6. Step 6: Final answer
    x = 289,071.15

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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.