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Finding the Fourth Proportional to 217,869, 326,803.50 and 70,125

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Solution

The fourth proportional to 217,869, 326,803.50 and 70,125 is: 105,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,869 : 326,803.50 = 70,125 : x
  2. Step 2: Convert to fraction form
    217,869/326,803.50 = 70,125/x
  3. Step 3: Cross multiply
    217,869x = 326,803.50 × 70,125
  4. Step 4: Simplify right side
    217,869x = 22,917,095,437.50
  5. Step 5: Solve for x
    x = 22,917,095,437.50/217,869
  6. Step 6: Final answer
    x = 105,187.50

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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.