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Finding the Fourth Proportional to 61,180.67, 84,430.13 and 36,978.32

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Solution

The fourth proportional to 61,180.67, 84,430.13 and 36,978.32 is: 51,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,180.67 : 84,430.13 = 36,978.32 : x
  2. Step 2: Convert to fraction form
    61,180.67/84,430.13 = 36,978.32/x
  3. Step 3: Cross multiply
    61,180.67x = 84,430.13 × 36,978.32
  4. Step 4: Simplify right side
    61,180.67x = 3,122,083,757.74
  5. Step 5: Solve for x
    x = 3,122,083,757.74/61,180.67
  6. Step 6: Final answer
    x = 51,030.56

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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.