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Finding the Fourth Proportional to 152,870, 210,960.60 and 85,802

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Solution

The fourth proportional to 152,870, 210,960.60 and 85,802 is: 118,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,870 : 210,960.60 = 85,802 : x
  2. Step 2: Convert to fraction form
    152,870/210,960.60 = 85,802/x
  3. Step 3: Cross multiply
    152,870x = 210,960.60 × 85,802
  4. Step 4: Simplify right side
    152,870x = 18,100,841,401.20
  5. Step 5: Solve for x
    x = 18,100,841,401.20/152,870
  6. Step 6: Final answer
    x = 118,406.76

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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.