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Finding the Fourth Proportional to 135,584.16, 203,111.51 and 64,405.51

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Solution

The fourth proportional to 135,584.16, 203,111.51 and 64,405.51 is: 96,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,584.16 : 203,111.51 = 64,405.51 : x
  2. Step 2: Convert to fraction form
    135,584.16/203,111.51 = 64,405.51/x
  3. Step 3: Cross multiply
    135,584.16x = 203,111.51 × 64,405.51
  4. Step 4: Simplify right side
    135,584.16x = 13,081,500,388.42
  5. Step 5: Solve for x
    x = 13,081,500,388.42/135,584.16
  6. Step 6: Final answer
    x = 96,482.51

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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.