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Finding the Fourth Proportional to 154,803.25, 232,215.86 and 61,309

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Solution

The fourth proportional to 154,803.25, 232,215.86 and 61,309 is: 91,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,803.25 : 232,215.86 = 61,309 : x
  2. Step 2: Convert to fraction form
    154,803.25/232,215.86 = 61,309/x
  3. Step 3: Cross multiply
    154,803.25x = 232,215.86 × 61,309
  4. Step 4: Simplify right side
    154,803.25x = 14,236,922,160.74
  5. Step 5: Solve for x
    x = 14,236,922,160.74/154,803.25
  6. Step 6: Final answer
    x = 91,967.85

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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.