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Finding the Fourth Proportional to 143,348.84, 197,823.72 and 78,820.80

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Solution

The fourth proportional to 143,348.84, 197,823.72 and 78,820.80 is: 108,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,348.84 : 197,823.72 = 78,820.80 : x
  2. Step 2: Convert to fraction form
    143,348.84/197,823.72 = 78,820.80/x
  3. Step 3: Cross multiply
    143,348.84x = 197,823.72 × 78,820.80
  4. Step 4: Simplify right side
    143,348.84x = 15,592,623,869.38
  5. Step 5: Solve for x
    x = 15,592,623,869.38/143,348.84
  6. Step 6: Final answer
    x = 108,773.98

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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.