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Finding the Fourth Proportional to 152,884.96, 210,958.40 and 85,804

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Solution

The fourth proportional to 152,884.96, 210,958.40 and 85,804 is: 118,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,884.96 : 210,958.40 = 85,804 : x
  2. Step 2: Convert to fraction form
    152,884.96/210,958.40 = 85,804/x
  3. Step 3: Cross multiply
    152,884.96x = 210,958.40 × 85,804
  4. Step 4: Simplify right side
    152,884.96x = 18,101,074,553.60
  5. Step 5: Solve for x
    x = 18,101,074,553.60/152,884.96
  6. Step 6: Final answer
    x = 118,396.70

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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.