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Finding the Fourth Proportional to 102,605.67, 141,588.54 and 60,156

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Solution

The fourth proportional to 102,605.67, 141,588.54 and 60,156 is: 83,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,605.67 : 141,588.54 = 60,156 : x
  2. Step 2: Convert to fraction form
    102,605.67/141,588.54 = 60,156/x
  3. Step 3: Cross multiply
    102,605.67x = 141,588.54 × 60,156
  4. Step 4: Simplify right side
    102,605.67x = 8,517,400,212.24
  5. Step 5: Solve for x
    x = 8,517,400,212.24/102,605.67
  6. Step 6: Final answer
    x = 83,011.01

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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.