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Finding the Fourth Proportional to 61,645, 85,073.16 and 37,773

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Solution

The fourth proportional to 61,645, 85,073.16 and 37,773 is: 52,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,645 : 85,073.16 = 37,773 : x
  2. Step 2: Convert to fraction form
    61,645/85,073.16 = 37,773/x
  3. Step 3: Cross multiply
    61,645x = 85,073.16 × 37,773
  4. Step 4: Simplify right side
    61,645x = 3,213,468,472.68
  5. Step 5: Solve for x
    x = 3,213,468,472.68/61,645
  6. Step 6: Final answer
    x = 52,128.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.