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Finding the Fourth Proportional to 102,878.82, 154,577.03 and 65,455.61

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Solution

The fourth proportional to 102,878.82, 154,577.03 and 65,455.61 is: 98,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,878.82 : 154,577.03 = 65,455.61 : x
  2. Step 2: Convert to fraction form
    102,878.82/154,577.03 = 65,455.61/x
  3. Step 3: Cross multiply
    102,878.82x = 154,577.03 × 65,455.61
  4. Step 4: Simplify right side
    102,878.82x = 10,117,932,690.48
  5. Step 5: Solve for x
    x = 10,117,932,690.48/102,878.82
  6. Step 6: Final answer
    x = 98,348.06

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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.