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Finding the Fourth Proportional to 65,740.92, 98,590.50 and 21,357.42

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Solution

The fourth proportional to 65,740.92, 98,590.50 and 21,357.42 is: 32,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740.92 : 98,590.50 = 21,357.42 : x
  2. Step 2: Convert to fraction form
    65,740.92/98,590.50 = 21,357.42/x
  3. Step 3: Cross multiply
    65,740.92x = 98,590.50 × 21,357.42
  4. Step 4: Simplify right side
    65,740.92x = 2,105,638,716.51
  5. Step 5: Solve for x
    x = 2,105,638,716.51/65,740.92
  6. Step 6: Final answer
    x = 32,029.35

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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.