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Finding the Fourth Proportional to 152,980.60, 211,083.42 and 89,321.08

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Solution

The fourth proportional to 152,980.60, 211,083.42 and 89,321.08 is: 123,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,980.60 : 211,083.42 = 89,321.08 : x
  2. Step 2: Convert to fraction form
    152,980.60/211,083.42 = 89,321.08/x
  3. Step 3: Cross multiply
    152,980.60x = 211,083.42 × 89,321.08
  4. Step 4: Simplify right side
    152,980.60x = 18,854,199,044.49
  5. Step 5: Solve for x
    x = 18,854,199,044.49/152,980.60
  6. Step 6: Final answer
    x = 123,245.69

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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.