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Finding the Fourth Proportional to 205,248.60, 307,842.12 and 64,989

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Solution

The fourth proportional to 205,248.60, 307,842.12 and 64,989 is: 97,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,248.60 : 307,842.12 = 64,989 : x
  2. Step 2: Convert to fraction form
    205,248.60/307,842.12 = 64,989/x
  3. Step 3: Cross multiply
    205,248.60x = 307,842.12 × 64,989
  4. Step 4: Simplify right side
    205,248.60x = 20,006,351,536.68
  5. Step 5: Solve for x
    x = 20,006,351,536.68/205,248.60
  6. Step 6: Final answer
    x = 97,473.75

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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.