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Finding the Fourth Proportional to 135,902.68, 203,802.14 and 64,812.76

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Solution

The fourth proportional to 135,902.68, 203,802.14 and 64,812.76 is: 97,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,902.68 : 203,802.14 = 64,812.76 : x
  2. Step 2: Convert to fraction form
    135,902.68/203,802.14 = 64,812.76/x
  3. Step 3: Cross multiply
    135,902.68x = 203,802.14 × 64,812.76
  4. Step 4: Simplify right side
    135,902.68x = 13,208,979,187.31
  5. Step 5: Solve for x
    x = 13,208,979,187.31/135,902.68
  6. Step 6: Final answer
    x = 97,194.40

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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.