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Finding the Fourth Proportional to 148,564.86, 205,007.32 and 81,496.86

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Solution

The fourth proportional to 148,564.86, 205,007.32 and 81,496.86 is: 112,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,564.86 : 205,007.32 = 81,496.86 : x
  2. Step 2: Convert to fraction form
    148,564.86/205,007.32 = 81,496.86/x
  3. Step 3: Cross multiply
    148,564.86x = 205,007.32 × 81,496.86
  4. Step 4: Simplify right side
    148,564.86x = 16,707,452,857.02
  5. Step 5: Solve for x
    x = 16,707,452,857.02/148,564.86
  6. Step 6: Final answer
    x = 112,458.98

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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.