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Finding the Fourth Proportional to 61,222.40, 91,718.40 and 31,539.20

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Solution

The fourth proportional to 61,222.40, 91,718.40 and 31,539.20 is: 47,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,222.40 : 91,718.40 = 31,539.20 : x
  2. Step 2: Convert to fraction form
    61,222.40/91,718.40 = 31,539.20/x
  3. Step 3: Cross multiply
    61,222.40x = 91,718.40 × 31,539.20
  4. Step 4: Simplify right side
    61,222.40x = 2,892,724,961.28
  5. Step 5: Solve for x
    x = 2,892,724,961.28/61,222.40
  6. Step 6: Final answer
    x = 47,249.45

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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.