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Finding the Fourth Proportional to 102,187.60, 153,540.60 and 90,782.80

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Solution

The fourth proportional to 102,187.60, 153,540.60 and 90,782.80 is: 136,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,187.60 : 153,540.60 = 90,782.80 : x
  2. Step 2: Convert to fraction form
    102,187.60/153,540.60 = 90,782.80/x
  3. Step 3: Cross multiply
    102,187.60x = 153,540.60 × 90,782.80
  4. Step 4: Simplify right side
    102,187.60x = 13,938,845,581.68
  5. Step 5: Solve for x
    x = 13,938,845,581.68/102,187.60
  6. Step 6: Final answer
    x = 136,404.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.