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Finding the Fourth Proportional to 86,970.24, 120,018.48 and 47,226.24

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Solution

The fourth proportional to 86,970.24, 120,018.48 and 47,226.24 is: 65,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,970.24 : 120,018.48 = 47,226.24 : x
  2. Step 2: Convert to fraction form
    86,970.24/120,018.48 = 47,226.24/x
  3. Step 3: Cross multiply
    86,970.24x = 120,018.48 × 47,226.24
  4. Step 4: Simplify right side
    86,970.24x = 5,668,021,540.92
  5. Step 5: Solve for x
    x = 5,668,021,540.92/86,970.24
  6. Step 6: Final answer
    x = 65,171.97

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1.5x scale

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.