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Finding the Fourth Proportional to 152,805, 210,874.14 and 85,737

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Solution

The fourth proportional to 152,805, 210,874.14 and 85,737 is: 118,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,805 : 210,874.14 = 85,737 : x
  2. Step 2: Convert to fraction form
    152,805/210,874.14 = 85,737/x
  3. Step 3: Cross multiply
    152,805x = 210,874.14 × 85,737
  4. Step 4: Simplify right side
    152,805x = 18,079,716,141.18
  5. Step 5: Solve for x
    x = 18,079,716,141.18/152,805
  6. Step 6: Final answer
    x = 118,318.88

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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.