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Finding the Fourth Proportional to 152,765.52, 210,841.76 and 89,103.32

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Solution

The fourth proportional to 152,765.52, 210,841.76 and 89,103.32 is: 122,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,765.52 : 210,841.76 = 89,103.32 : x
  2. Step 2: Convert to fraction form
    152,765.52/210,841.76 = 89,103.32/x
  3. Step 3: Cross multiply
    152,765.52x = 210,841.76 × 89,103.32
  4. Step 4: Simplify right side
    152,765.52x = 18,786,699,310.92
  5. Step 5: Solve for x
    x = 18,786,699,310.92/152,765.52
  6. Step 6: Final answer
    x = 122,977.35

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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.