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Finding the Fourth Proportional to 141,242.50, 194,931.93 and 81,626.50

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Solution

The fourth proportional to 141,242.50, 194,931.93 and 81,626.50 is: 112,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,242.50 : 194,931.93 = 81,626.50 : x
  2. Step 2: Convert to fraction form
    141,242.50/194,931.93 = 81,626.50/x
  3. Step 3: Cross multiply
    141,242.50x = 194,931.93 × 81,626.50
  4. Step 4: Simplify right side
    141,242.50x = 15,911,611,184.15
  5. Step 5: Solve for x
    x = 15,911,611,184.15/141,242.50
  6. Step 6: Final answer
    x = 112,654.56

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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.