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Finding the Fourth Proportional to 102,480.82, 152,702.44 and 91,301.60

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Solution

The fourth proportional to 102,480.82, 152,702.44 and 91,301.60 is: 136,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,480.82 : 152,702.44 = 91,301.60 : x
  2. Step 2: Convert to fraction form
    102,480.82/152,702.44 = 91,301.60/x
  3. Step 3: Cross multiply
    102,480.82x = 152,702.44 × 91,301.60
  4. Step 4: Simplify right side
    102,480.82x = 13,941,977,249.41
  5. Step 5: Solve for x
    x = 13,941,977,249.41/102,480.82
  6. Step 6: Final answer
    x = 136,044.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.