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Finding the Fourth Proportional to 100,416.61, 138,579.95 and 57,398.32

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Solution

The fourth proportional to 100,416.61, 138,579.95 and 57,398.32 is: 79,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416.61 : 138,579.95 = 57,398.32 : x
  2. Step 2: Convert to fraction form
    100,416.61/138,579.95 = 57,398.32/x
  3. Step 3: Cross multiply
    100,416.61x = 138,579.95 × 57,398.32
  4. Step 4: Simplify right side
    100,416.61x = 7,954,255,335.79
  5. Step 5: Solve for x
    x = 7,954,255,335.79/100,416.61
  6. Step 6: Final answer
    x = 79,212.55

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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.