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Finding the Fourth Proportional to 61,138.40, 91,703.82 and 21,690.32

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Solution

The fourth proportional to 61,138.40, 91,703.82 and 21,690.32 is: 32,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,138.40 : 91,703.82 = 21,690.32 : x
  2. Step 2: Convert to fraction form
    61,138.40/91,703.82 = 21,690.32/x
  3. Step 3: Cross multiply
    61,138.40x = 91,703.82 × 21,690.32
  4. Step 4: Simplify right side
    61,138.40x = 1,989,085,201.02
  5. Step 5: Solve for x
    x = 1,989,085,201.02/61,138.40
  6. Step 6: Final answer
    x = 32,534.14

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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.