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Finding the Fourth Proportional to 209,557.79, 314,333.61 and 51,786.24

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Solution

The fourth proportional to 209,557.79, 314,333.61 and 51,786.24 is: 77,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,557.79 : 314,333.61 = 51,786.24 : x
  2. Step 2: Convert to fraction form
    209,557.79/314,333.61 = 51,786.24/x
  3. Step 3: Cross multiply
    209,557.79x = 314,333.61 × 51,786.24
  4. Step 4: Simplify right side
    209,557.79x = 16,278,155,767.53
  5. Step 5: Solve for x
    x = 16,278,155,767.53/209,557.79
  6. Step 6: Final answer
    x = 77,678.60

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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.