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Finding the Fourth Proportional to 211,902, 292,184.28 and 135,319.92

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Solution

The fourth proportional to 211,902, 292,184.28 and 135,319.92 is: 186,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,902 : 292,184.28 = 135,319.92 : x
  2. Step 2: Convert to fraction form
    211,902/292,184.28 = 135,319.92/x
  3. Step 3: Cross multiply
    211,902x = 292,184.28 × 135,319.92
  4. Step 4: Simplify right side
    211,902x = 39,538,353,394.86
  5. Step 5: Solve for x
    x = 39,538,353,394.86/211,902
  6. Step 6: Final answer
    x = 186,587.92

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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.