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Finding the Fourth Proportional to 152,880.96, 210,952.88 and 85,800

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Solution

The fourth proportional to 152,880.96, 210,952.88 and 85,800 is: 118,391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,880.96 : 210,952.88 = 85,800 : x
  2. Step 2: Convert to fraction form
    152,880.96/210,952.88 = 85,800/x
  3. Step 3: Cross multiply
    152,880.96x = 210,952.88 × 85,800
  4. Step 4: Simplify right side
    152,880.96x = 18,099,757,104
  5. Step 5: Solve for x
    x = 18,099,757,104/152,880.96
  6. Step 6: Final answer
    x = 118,391.18

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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.