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Finding the Fourth Proportional to 340,056.50, 510,085.15 and 126,821.16

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Solution

The fourth proportional to 340,056.50, 510,085.15 and 126,821.16 is: 190,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,056.50 : 510,085.15 = 126,821.16 : x
  2. Step 2: Convert to fraction form
    340,056.50/510,085.15 = 126,821.16/x
  3. Step 3: Cross multiply
    340,056.50x = 510,085.15 × 126,821.16
  4. Step 4: Simplify right side
    340,056.50x = 64,689,590,104.72
  5. Step 5: Solve for x
    x = 64,689,590,104.72/340,056.50
  6. Step 6: Final answer
    x = 190,231.89

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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.