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Finding the Fourth Proportional to 101,082.94, 151,501.40 and 71,509.30

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Solution

The fourth proportional to 101,082.94, 151,501.40 and 71,509.30 is: 107,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082.94 : 151,501.40 = 71,509.30 : x
  2. Step 2: Convert to fraction form
    101,082.94/151,501.40 = 71,509.30/x
  3. Step 3: Cross multiply
    101,082.94x = 151,501.40 × 71,509.30
  4. Step 4: Simplify right side
    101,082.94x = 10,833,759,063.02
  5. Step 5: Solve for x
    x = 10,833,759,063.02/101,082.94
  6. Step 6: Final answer
    x = 107,176.93

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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.