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Finding the Fourth Proportional to 117,648.95, 162,273.44 and 77,349.83

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Solution

The fourth proportional to 117,648.95, 162,273.44 and 77,349.83 is: 106,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,648.95 : 162,273.44 = 77,349.83 : x
  2. Step 2: Convert to fraction form
    117,648.95/162,273.44 = 77,349.83/x
  3. Step 3: Cross multiply
    117,648.95x = 162,273.44 × 77,349.83
  4. Step 4: Simplify right side
    117,648.95x = 12,551,822,379.52
  5. Step 5: Solve for x
    x = 12,551,822,379.52/117,648.95
  6. Step 6: Final answer
    x = 106,688.78

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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.