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Finding the Fourth Proportional to 105,364.04, 157,879.60 and 85,545.77

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Solution

The fourth proportional to 105,364.04, 157,879.60 and 85,545.77 is: 128,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,364.04 : 157,879.60 = 85,545.77 : x
  2. Step 2: Convert to fraction form
    105,364.04/157,879.60 = 85,545.77/x
  3. Step 3: Cross multiply
    105,364.04x = 157,879.60 × 85,545.77
  4. Step 4: Simplify right side
    105,364.04x = 13,505,930,946.03
  5. Step 5: Solve for x
    x = 13,505,930,946.03/105,364.04
  6. Step 6: Final answer
    x = 128,183.50

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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.