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Finding the Fourth Proportional to 206,430.80, 309,646.66 and 56,673.14

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Solution

The fourth proportional to 206,430.80, 309,646.66 and 56,673.14 is: 85,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,430.80 : 309,646.66 = 56,673.14 : x
  2. Step 2: Convert to fraction form
    206,430.80/309,646.66 = 56,673.14/x
  3. Step 3: Cross multiply
    206,430.80x = 309,646.66 × 56,673.14
  4. Step 4: Simplify right side
    206,430.80x = 17,548,648,512.71
  5. Step 5: Solve for x
    x = 17,548,648,512.71/206,430.80
  6. Step 6: Final answer
    x = 85,009.84

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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.