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Finding the Fourth Proportional to 115,675.70, 173,429.71 and 78,141.92

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Solution

The fourth proportional to 115,675.70, 173,429.71 and 78,141.92 is: 117,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,675.70 : 173,429.71 = 78,141.92 : x
  2. Step 2: Convert to fraction form
    115,675.70/173,429.71 = 78,141.92/x
  3. Step 3: Cross multiply
    115,675.70x = 173,429.71 × 78,141.92
  4. Step 4: Simplify right side
    115,675.70x = 13,552,129,461.94
  5. Step 5: Solve for x
    x = 13,552,129,461.94/115,675.70
  6. Step 6: Final answer
    x = 117,156.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.