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Finding the Fourth Proportional to 209,668.50, 314,505.18 and 51,898.32

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Solution

The fourth proportional to 209,668.50, 314,505.18 and 51,898.32 is: 77,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,668.50 : 314,505.18 = 51,898.32 : x
  2. Step 2: Convert to fraction form
    209,668.50/314,505.18 = 51,898.32/x
  3. Step 3: Cross multiply
    209,668.50x = 314,505.18 × 51,898.32
  4. Step 4: Simplify right side
    209,668.50x = 16,322,290,473.30
  5. Step 5: Solve for x
    x = 16,322,290,473.30/209,668.50
  6. Step 6: Final answer
    x = 77,848.08

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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.