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Finding the Fourth Proportional to 243,078.48, 335,465.10 and 135,669.42

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Solution

The fourth proportional to 243,078.48, 335,465.10 and 135,669.42 is: 187,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,078.48 : 335,465.10 = 135,669.42 : x
  2. Step 2: Convert to fraction form
    243,078.48/335,465.10 = 135,669.42/x
  3. Step 3: Cross multiply
    243,078.48x = 335,465.10 × 135,669.42
  4. Step 4: Simplify right side
    243,078.48x = 45,512,355,547.24
  5. Step 5: Solve for x
    x = 45,512,355,547.24/243,078.48
  6. Step 6: Final answer
    x = 187,233.17

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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.