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Finding the Fourth Proportional to 61,111.20, 91,724.40 and 37,783.20

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Solution

The fourth proportional to 61,111.20, 91,724.40 and 37,783.20 is: 56,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,111.20 : 91,724.40 = 37,783.20 : x
  2. Step 2: Convert to fraction form
    61,111.20/91,724.40 = 37,783.20/x
  3. Step 3: Cross multiply
    61,111.20x = 91,724.40 × 37,783.20
  4. Step 4: Simplify right side
    61,111.20x = 3,465,641,350.08
  5. Step 5: Solve for x
    x = 3,465,641,350.08/61,111.20
  6. Step 6: Final answer
    x = 56,710.41

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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.