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Finding the Fourth Proportional to 97,019.78, 145,529.70 and 43,649.42

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Solution

The fourth proportional to 97,019.78, 145,529.70 and 43,649.42 is: 65,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,019.78 : 145,529.70 = 43,649.42 : x
  2. Step 2: Convert to fraction form
    97,019.78/145,529.70 = 43,649.42/x
  3. Step 3: Cross multiply
    97,019.78x = 145,529.70 × 43,649.42
  4. Step 4: Simplify right side
    97,019.78x = 6,352,286,106.44
  5. Step 5: Solve for x
    x = 6,352,286,106.44/97,019.78
  6. Step 6: Final answer
    x = 65,474.14

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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.