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Finding the Fourth Proportional to 77,197.72, 115,788.70 and 52,397.12

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Solution

The fourth proportional to 77,197.72, 115,788.70 and 52,397.12 is: 78,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.72 : 115,788.70 = 52,397.12 : x
  2. Step 2: Convert to fraction form
    77,197.72/115,788.70 = 52,397.12/x
  3. Step 3: Cross multiply
    77,197.72x = 115,788.70 × 52,397.12
  4. Step 4: Simplify right side
    77,197.72x = 6,066,994,408.54
  5. Step 5: Solve for x
    x = 6,066,994,408.54/77,197.72
  6. Step 6: Final answer
    x = 78,590.33

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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.