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Finding the Fourth Proportional to 205,011.38, 307,515.24 and 64,770

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Solution

The fourth proportional to 205,011.38, 307,515.24 and 64,770 is: 97,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,011.38 : 307,515.24 = 64,770 : x
  2. Step 2: Convert to fraction form
    205,011.38/307,515.24 = 64,770/x
  3. Step 3: Cross multiply
    205,011.38x = 307,515.24 × 64,770
  4. Step 4: Simplify right side
    205,011.38x = 19,917,762,094.80
  5. Step 5: Solve for x
    x = 19,917,762,094.80/205,011.38
  6. Step 6: Final answer
    x = 97,154.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.