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Finding the Fourth Proportional to 206,403.76, 309,605.96 and 56,646.08

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Solution

The fourth proportional to 206,403.76, 309,605.96 and 56,646.08 is: 84,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.76 : 309,605.96 = 56,646.08 : x
  2. Step 2: Convert to fraction form
    206,403.76/309,605.96 = 56,646.08/x
  3. Step 3: Cross multiply
    206,403.76x = 309,605.96 × 56,646.08
  4. Step 4: Simplify right side
    206,403.76x = 17,537,963,978.64
  5. Step 5: Solve for x
    x = 17,537,963,978.64/206,403.76
  6. Step 6: Final answer
    x = 84,969.21

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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.