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Finding the Fourth Proportional to 152,767, 210,819.90 and 85,700.44

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Solution

The fourth proportional to 152,767, 210,819.90 and 85,700.44 is: 118,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,767 : 210,819.90 = 85,700.44 : x
  2. Step 2: Convert to fraction form
    152,767/210,819.90 = 85,700.44/x
  3. Step 3: Cross multiply
    152,767x = 210,819.90 × 85,700.44
  4. Step 4: Simplify right side
    152,767x = 18,067,358,190.76
  5. Step 5: Solve for x
    x = 18,067,358,190.76/152,767
  6. Step 6: Final answer
    x = 118,267.42

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1.5x scale

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.