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Finding the Fourth Proportional to 170,200.80, 255,416.40 and 76,658.40

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Solution

The fourth proportional to 170,200.80, 255,416.40 and 76,658.40 is: 115,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,200.80 : 255,416.40 = 76,658.40 : x
  2. Step 2: Convert to fraction form
    170,200.80/255,416.40 = 76,658.40/x
  3. Step 3: Cross multiply
    170,200.80x = 255,416.40 × 76,658.40
  4. Step 4: Simplify right side
    170,200.80x = 19,579,812,557.76
  5. Step 5: Solve for x
    x = 19,579,812,557.76/170,200.80
  6. Step 6: Final answer
    x = 115,039.49

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1.5x scale

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.