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Finding the Fourth Proportional to 102,010.25, 140,790.84 and 84,987.50

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Solution

The fourth proportional to 102,010.25, 140,790.84 and 84,987.50 is: 117,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,010.25 : 140,790.84 = 84,987.50 : x
  2. Step 2: Convert to fraction form
    102,010.25/140,790.84 = 84,987.50/x
  3. Step 3: Cross multiply
    102,010.25x = 140,790.84 × 84,987.50
  4. Step 4: Simplify right side
    102,010.25x = 11,965,461,514.50
  5. Step 5: Solve for x
    x = 11,965,461,514.50/102,010.25
  6. Step 6: Final answer
    x = 117,296.66

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1.5x scale

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.