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Finding the Fourth Proportional to 170,089.63, 255,192.10 and 75,306.74

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Solution

The fourth proportional to 170,089.63, 255,192.10 and 75,306.74 is: 112,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,089.63 : 255,192.10 = 75,306.74 : x
  2. Step 2: Convert to fraction form
    170,089.63/255,192.10 = 75,306.74/x
  3. Step 3: Cross multiply
    170,089.63x = 255,192.10 × 75,306.74
  4. Step 4: Simplify right side
    170,089.63x = 19,217,685,124.75
  5. Step 5: Solve for x
    x = 19,217,685,124.75/170,089.63
  6. Step 6: Final answer
    x = 112,985.64

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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.