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Finding the Fourth Proportional to 152,821.50, 210,913.11 and 85,753.50

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Solution

The fourth proportional to 152,821.50, 210,913.11 and 85,753.50 is: 118,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,821.50 : 210,913.11 = 85,753.50 : x
  2. Step 2: Convert to fraction form
    152,821.50/210,913.11 = 85,753.50/x
  3. Step 3: Cross multiply
    152,821.50x = 210,913.11 × 85,753.50
  4. Step 4: Simplify right side
    152,821.50x = 18,086,537,378.39
  5. Step 5: Solve for x
    x = 18,086,537,378.39/152,821.50
  6. Step 6: Final answer
    x = 118,350.74

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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.