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Finding the Fourth Proportional to 102,805.80, 154,064.70 and 81,781.80

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Solution

The fourth proportional to 102,805.80, 154,064.70 and 81,781.80 is: 122,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,805.80 : 154,064.70 = 81,781.80 : x
  2. Step 2: Convert to fraction form
    102,805.80/154,064.70 = 81,781.80/x
  3. Step 3: Cross multiply
    102,805.80x = 154,064.70 × 81,781.80
  4. Step 4: Simplify right side
    102,805.80x = 12,599,688,482.46
  5. Step 5: Solve for x
    x = 12,599,688,482.46/102,805.80
  6. Step 6: Final answer
    x = 122,558.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.