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Finding the Fourth Proportional to 102,442.80, 153,664.20 and 91,945.20

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Solution

The fourth proportional to 102,442.80, 153,664.20 and 91,945.20 is: 137,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,442.80 : 153,664.20 = 91,945.20 : x
  2. Step 2: Convert to fraction form
    102,442.80/153,664.20 = 91,945.20/x
  3. Step 3: Cross multiply
    102,442.80x = 153,664.20 × 91,945.20
  4. Step 4: Simplify right side
    102,442.80x = 14,128,685,601.84
  5. Step 5: Solve for x
    x = 14,128,685,601.84/102,442.80
  6. Step 6: Final answer
    x = 137,917.80

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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.