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Finding the Fourth Proportional to 189,959.20, 284,938.80 and 79,136.80

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Solution

The fourth proportional to 189,959.20, 284,938.80 and 79,136.80 is: 118,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,959.20 : 284,938.80 = 79,136.80 : x
  2. Step 2: Convert to fraction form
    189,959.20/284,938.80 = 79,136.80/x
  3. Step 3: Cross multiply
    189,959.20x = 284,938.80 × 79,136.80
  4. Step 4: Simplify right side
    189,959.20x = 22,549,144,827.84
  5. Step 5: Solve for x
    x = 22,549,144,827.84/189,959.20
  6. Step 6: Final answer
    x = 118,705.20

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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.