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Finding the Fourth Proportional to 65,783.22, 90,779.49 and 35,975.22

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Solution

The fourth proportional to 65,783.22, 90,779.49 and 35,975.22 is: 49,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.22 : 90,779.49 = 35,975.22 : x
  2. Step 2: Convert to fraction form
    65,783.22/90,779.49 = 35,975.22/x
  3. Step 3: Cross multiply
    65,783.22x = 90,779.49 × 35,975.22
  4. Step 4: Simplify right side
    65,783.22x = 3,265,812,124.24
  5. Step 5: Solve for x
    x = 3,265,812,124.24/65,783.22
  6. Step 6: Final answer
    x = 49,645.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.