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Finding the Fourth Proportional to 135,901.80, 203,723.10 and 105,899.40

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Solution

The fourth proportional to 135,901.80, 203,723.10 and 105,899.40 is: 158,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,901.80 : 203,723.10 = 105,899.40 : x
  2. Step 2: Convert to fraction form
    135,901.80/203,723.10 = 105,899.40/x
  3. Step 3: Cross multiply
    135,901.80x = 203,723.10 × 105,899.40
  4. Step 4: Simplify right side
    135,901.80x = 21,574,154,056.14
  5. Step 5: Solve for x
    x = 21,574,154,056.14/135,901.80
  6. Step 6: Final answer
    x = 158,748.11

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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.