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Finding the Fourth Proportional to 101,026.68, 151,534.53 and 30,906

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Solution

The fourth proportional to 101,026.68, 151,534.53 and 30,906 is: 46,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026.68 : 151,534.53 = 30,906 : x
  2. Step 2: Convert to fraction form
    101,026.68/151,534.53 = 30,906/x
  3. Step 3: Cross multiply
    101,026.68x = 151,534.53 × 30,906
  4. Step 4: Simplify right side
    101,026.68x = 4,683,326,184.18
  5. Step 5: Solve for x
    x = 4,683,326,184.18/101,026.68
  6. Step 6: Final answer
    x = 46,357.32

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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.