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Finding the Fourth Proportional to 71,929, 99,271.64 and 41,314.14

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Solution

The fourth proportional to 71,929, 99,271.64 and 41,314.14 is: 57,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,929 : 99,271.64 = 41,314.14 : x
  2. Step 2: Convert to fraction form
    71,929/99,271.64 = 41,314.14/x
  3. Step 3: Cross multiply
    71,929x = 99,271.64 × 41,314.14
  4. Step 4: Simplify right side
    71,929x = 4,101,322,432.99
  5. Step 5: Solve for x
    x = 4,101,322,432.99/71,929
  6. Step 6: Final answer
    x = 57,019.04

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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.