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Finding the Fourth Proportional to 159,030.46, 219,462.51 and 87,417.82

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Solution

The fourth proportional to 159,030.46, 219,462.51 and 87,417.82 is: 120,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,030.46 : 219,462.51 = 87,417.82 : x
  2. Step 2: Convert to fraction form
    159,030.46/219,462.51 = 87,417.82/x
  3. Step 3: Cross multiply
    159,030.46x = 219,462.51 × 87,417.82
  4. Step 4: Simplify right side
    159,030.46x = 19,184,934,195.93
  5. Step 5: Solve for x
    x = 19,184,934,195.93/159,030.46
  6. Step 6: Final answer
    x = 120,636.85

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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.