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Finding the Fourth Proportional to 248,419.84, 342,819.12 and 135,242.32

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Solution

The fourth proportional to 248,419.84, 342,819.12 and 135,242.32 is: 186,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,419.84 : 342,819.12 = 135,242.32 : x
  2. Step 2: Convert to fraction form
    248,419.84/342,819.12 = 135,242.32/x
  3. Step 3: Cross multiply
    248,419.84x = 342,819.12 × 135,242.32
  4. Step 4: Simplify right side
    248,419.84x = 46,363,653,129.16
  5. Step 5: Solve for x
    x = 46,363,653,129.16/248,419.84
  6. Step 6: Final answer
    x = 186,634.26

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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.