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Finding the Fourth Proportional to 148,005.86, 221,990.32 and 87,251

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Solution

The fourth proportional to 148,005.86, 221,990.32 and 87,251 is: 130,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,005.86 : 221,990.32 = 87,251 : x
  2. Step 2: Convert to fraction form
    148,005.86/221,990.32 = 87,251/x
  3. Step 3: Cross multiply
    148,005.86x = 221,990.32 × 87,251
  4. Step 4: Simplify right side
    148,005.86x = 19,368,877,410.32
  5. Step 5: Solve for x
    x = 19,368,877,410.32/148,005.86
  6. Step 6: Final answer
    x = 130,865.61

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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.