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Finding the Fourth Proportional to 542,071.77, 813,109.48 and 137,263.79

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Solution

The fourth proportional to 542,071.77, 813,109.48 and 137,263.79 is: 205,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,071.77 : 813,109.48 = 137,263.79 : x
  2. Step 2: Convert to fraction form
    542,071.77/813,109.48 = 137,263.79/x
  3. Step 3: Cross multiply
    542,071.77x = 813,109.48 × 137,263.79
  4. Step 4: Simplify right side
    542,071.77x = 111,610,486,032.15
  5. Step 5: Solve for x
    x = 111,610,486,032.15/542,071.77
  6. Step 6: Final answer
    x = 205,896.14

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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.