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Finding the Fourth Proportional to 65,210.92, 97,778.86 and 34,778.51

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Solution

The fourth proportional to 65,210.92, 97,778.86 and 34,778.51 is: 52,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.92 : 97,778.86 = 34,778.51 : x
  2. Step 2: Convert to fraction form
    65,210.92/97,778.86 = 34,778.51/x
  3. Step 3: Cross multiply
    65,210.92x = 97,778.86 × 34,778.51
  4. Step 4: Simplify right side
    65,210.92x = 3,400,603,060.30
  5. Step 5: Solve for x
    x = 3,400,603,060.30/65,210.92
  6. Step 6: Final answer
    x = 52,147.75

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1.5x scale

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.