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Finding the Fourth Proportional to 66,964.48, 100,381.44 and 31,894.72

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Solution

The fourth proportional to 66,964.48, 100,381.44 and 31,894.72 is: 47,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964.48 : 100,381.44 = 31,894.72 : x
  2. Step 2: Convert to fraction form
    66,964.48/100,381.44 = 31,894.72/x
  3. Step 3: Cross multiply
    66,964.48x = 100,381.44 × 31,894.72
  4. Step 4: Simplify right side
    66,964.48x = 3,201,637,922.00
  5. Step 5: Solve for x
    x = 3,201,637,922.00/66,964.48
  6. Step 6: Final answer
    x = 47,810.99

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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.