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Finding the Fourth Proportional to 102,841.84, 141,922.05 and 57,520.59

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Solution

The fourth proportional to 102,841.84, 141,922.05 and 57,520.59 is: 79,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,841.84 : 141,922.05 = 57,520.59 : x
  2. Step 2: Convert to fraction form
    102,841.84/141,922.05 = 57,520.59/x
  3. Step 3: Cross multiply
    102,841.84x = 141,922.05 × 57,520.59
  4. Step 4: Simplify right side
    102,841.84x = 8,163,440,050.01
  5. Step 5: Solve for x
    x = 8,163,440,050.01/102,841.84
  6. Step 6: Final answer
    x = 79,378.59

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1.5x scale

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.