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Finding the Fourth Proportional to 102,659.50, 141,670.11 and 55,555.50

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Solution

The fourth proportional to 102,659.50, 141,670.11 and 55,555.50 is: 76,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,659.50 : 141,670.11 = 55,555.50 : x
  2. Step 2: Convert to fraction form
    102,659.50/141,670.11 = 55,555.50/x
  3. Step 3: Cross multiply
    102,659.50x = 141,670.11 × 55,555.50
  4. Step 4: Simplify right side
    102,659.50x = 7,870,553,796.11
  5. Step 5: Solve for x
    x = 7,870,553,796.11/102,659.50
  6. Step 6: Final answer
    x = 76,666.59

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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.