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Finding the Fourth Proportional to 61,200.16, 91,809.84 and 26,140

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Solution

The fourth proportional to 61,200.16, 91,809.84 and 26,140 is: 39,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200.16 : 91,809.84 = 26,140 : x
  2. Step 2: Convert to fraction form
    61,200.16/91,809.84 = 26,140/x
  3. Step 3: Cross multiply
    61,200.16x = 91,809.84 × 26,140
  4. Step 4: Simplify right side
    61,200.16x = 2,399,909,217.60
  5. Step 5: Solve for x
    x = 2,399,909,217.60/61,200.16
  6. Step 6: Final answer
    x = 39,214.10

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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.