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Finding the Fourth Proportional to 77,668.32, 116,304.80 and 51,333.60

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Solution

The fourth proportional to 77,668.32, 116,304.80 and 51,333.60 is: 76,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668.32 : 116,304.80 = 51,333.60 : x
  2. Step 2: Convert to fraction form
    77,668.32/116,304.80 = 51,333.60/x
  3. Step 3: Cross multiply
    77,668.32x = 116,304.80 × 51,333.60
  4. Step 4: Simplify right side
    77,668.32x = 5,970,344,081.28
  5. Step 5: Solve for x
    x = 5,970,344,081.28/77,668.32
  6. Step 6: Final answer
    x = 76,869.75

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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.