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Finding the Fourth Proportional to 156,408.17, 215,842.93 and 84,788.78

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Solution

The fourth proportional to 156,408.17, 215,842.93 and 84,788.78 is: 117,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,408.17 : 215,842.93 = 84,788.78 : x
  2. Step 2: Convert to fraction form
    156,408.17/215,842.93 = 84,788.78/x
  3. Step 3: Cross multiply
    156,408.17x = 215,842.93 × 84,788.78
  4. Step 4: Simplify right side
    156,408.17x = 18,301,057,415.14
  5. Step 5: Solve for x
    x = 18,301,057,415.14/156,408.17
  6. Step 6: Final answer
    x = 117,008.33

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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.