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Finding the Fourth Proportional to 142,294.98, 196,374.63 and 81,874.80

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Solution

The fourth proportional to 142,294.98, 196,374.63 and 81,874.80 is: 112,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294.98 : 196,374.63 = 81,874.80 : x
  2. Step 2: Convert to fraction form
    142,294.98/196,374.63 = 81,874.80/x
  3. Step 3: Cross multiply
    142,294.98x = 196,374.63 × 81,874.80
  4. Step 4: Simplify right side
    142,294.98x = 16,078,133,402.81
  5. Step 5: Solve for x
    x = 16,078,133,402.81/142,294.98
  6. Step 6: Final answer
    x = 112,991.57

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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.