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Finding the Fourth Proportional to 135,718.81, 187,291.74 and 75,298.66

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Solution

The fourth proportional to 135,718.81, 187,291.74 and 75,298.66 is: 103,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,718.81 : 187,291.74 = 75,298.66 : x
  2. Step 2: Convert to fraction form
    135,718.81/187,291.74 = 75,298.66/x
  3. Step 3: Cross multiply
    135,718.81x = 187,291.74 × 75,298.66
  4. Step 4: Simplify right side
    135,718.81x = 14,102,817,051.07
  5. Step 5: Solve for x
    x = 14,102,817,051.07/135,718.81
  6. Step 6: Final answer
    x = 103,912.03

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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.