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Finding the Fourth Proportional to 159,130.86, 219,593.07 and 87,513.90

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Solution

The fourth proportional to 159,130.86, 219,593.07 and 87,513.90 is: 120,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,130.86 : 219,593.07 = 87,513.90 : x
  2. Step 2: Convert to fraction form
    159,130.86/219,593.07 = 87,513.90/x
  3. Step 3: Cross multiply
    159,130.86x = 219,593.07 × 87,513.90
  4. Step 4: Simplify right side
    159,130.86x = 19,217,445,968.67
  5. Step 5: Solve for x
    x = 19,217,445,968.67/159,130.86
  6. Step 6: Final answer
    x = 120,765.05

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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.