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Finding the Fourth Proportional to 210,005.70, 314,972.10 and 76,817.40

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Solution

The fourth proportional to 210,005.70, 314,972.10 and 76,817.40 is: 115,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.70 : 314,972.10 = 76,817.40 : x
  2. Step 2: Convert to fraction form
    210,005.70/314,972.10 = 76,817.40/x
  3. Step 3: Cross multiply
    210,005.70x = 314,972.10 × 76,817.40
  4. Step 4: Simplify right side
    210,005.70x = 24,195,337,794.54
  5. Step 5: Solve for x
    x = 24,195,337,794.54/210,005.70
  6. Step 6: Final answer
    x = 115,212.77

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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.