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Finding the Fourth Proportional to 52,032.96, 78,064.02 and 20,890.08

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Solution

The fourth proportional to 52,032.96, 78,064.02 and 20,890.08 is: 31,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.96 : 78,064.02 = 20,890.08 : x
  2. Step 2: Convert to fraction form
    52,032.96/78,064.02 = 20,890.08/x
  3. Step 3: Cross multiply
    52,032.96x = 78,064.02 × 20,890.08
  4. Step 4: Simplify right side
    52,032.96x = 1,630,763,622.92
  5. Step 5: Solve for x
    x = 1,630,763,622.92/52,032.96
  6. Step 6: Final answer
    x = 31,340.97

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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.