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Finding the Fourth Proportional to 101,346.83, 152,045.02 and 71,419.45

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Solution

The fourth proportional to 101,346.83, 152,045.02 and 71,419.45 is: 107,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346.83 : 152,045.02 = 71,419.45 : x
  2. Step 2: Convert to fraction form
    101,346.83/152,045.02 = 71,419.45/x
  3. Step 3: Cross multiply
    101,346.83x = 152,045.02 × 71,419.45
  4. Step 4: Simplify right side
    101,346.83x = 10,858,971,471.13
  5. Step 5: Solve for x
    x = 10,858,971,471.13/101,346.83
  6. Step 6: Final answer
    x = 107,146.63

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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.