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Finding the Fourth Proportional to 210,007.70, 314,983.20 and 83,740.85

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Solution

The fourth proportional to 210,007.70, 314,983.20 and 83,740.85 is: 125,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,007.70 : 314,983.20 = 83,740.85 : x
  2. Step 2: Convert to fraction form
    210,007.70/314,983.20 = 83,740.85/x
  3. Step 3: Cross multiply
    210,007.70x = 314,983.20 × 83,740.85
  4. Step 4: Simplify right side
    210,007.70x = 26,376,960,903.72
  5. Step 5: Solve for x
    x = 26,376,960,903.72/210,007.70
  6. Step 6: Final answer
    x = 125,599.97

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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.