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Finding the Fourth Proportional to 210,007.70, 314,975.10 and 76,819.40

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Solution

The fourth proportional to 210,007.70, 314,975.10 and 76,819.40 is: 115,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,007.70 : 314,975.10 = 76,819.40 : x
  2. Step 2: Convert to fraction form
    210,007.70/314,975.10 = 76,819.40/x
  3. Step 3: Cross multiply
    210,007.70x = 314,975.10 × 76,819.40
  4. Step 4: Simplify right side
    210,007.70x = 24,196,198,196.94
  5. Step 5: Solve for x
    x = 24,196,198,196.94/210,007.70
  6. Step 6: Final answer
    x = 115,215.77

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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.