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Finding the Fourth Proportional to 135,803.94, 187,405.83 and 75,373.02

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Solution

The fourth proportional to 135,803.94, 187,405.83 and 75,373.02 is: 104,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,803.94 : 187,405.83 = 75,373.02 : x
  2. Step 2: Convert to fraction form
    135,803.94/187,405.83 = 75,373.02/x
  3. Step 3: Cross multiply
    135,803.94x = 187,405.83 × 75,373.02
  4. Step 4: Simplify right side
    135,803.94x = 14,125,343,372.71
  5. Step 5: Solve for x
    x = 14,125,343,372.71/135,803.94
  6. Step 6: Final answer
    x = 104,012.77

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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.