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Finding the Fourth Proportional to 135,703.22, 187,292.86 and 75,293.30

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Solution

The fourth proportional to 135,703.22, 187,292.86 and 75,293.30 is: 103,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,703.22 : 187,292.86 = 75,293.30 : x
  2. Step 2: Convert to fraction form
    135,703.22/187,292.86 = 75,293.30/x
  3. Step 3: Cross multiply
    135,703.22x = 187,292.86 × 75,293.30
  4. Step 4: Simplify right side
    135,703.22x = 14,101,897,495.84
  5. Step 5: Solve for x
    x = 14,101,897,495.84/135,703.22
  6. Step 6: Final answer
    x = 103,917.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.