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Finding the Fourth Proportional to 209,193.84, 313,788.06 and 51,423.66

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Solution

The fourth proportional to 209,193.84, 313,788.06 and 51,423.66 is: 77,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,193.84 : 313,788.06 = 51,423.66 : x
  2. Step 2: Convert to fraction form
    209,193.84/313,788.06 = 51,423.66/x
  3. Step 3: Cross multiply
    209,193.84x = 313,788.06 × 51,423.66
  4. Step 4: Simplify right side
    209,193.84x = 16,136,130,509.50
  5. Step 5: Solve for x
    x = 16,136,130,509.50/209,193.84
  6. Step 6: Final answer
    x = 77,134.83

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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.