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Finding the Fourth Proportional to 77,668.66, 116,503.14 and 21,508.94

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Solution

The fourth proportional to 77,668.66, 116,503.14 and 21,508.94 is: 32,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668.66 : 116,503.14 = 21,508.94 : x
  2. Step 2: Convert to fraction form
    77,668.66/116,503.14 = 21,508.94/x
  3. Step 3: Cross multiply
    77,668.66x = 116,503.14 × 21,508.94
  4. Step 4: Simplify right side
    77,668.66x = 2,505,859,048.07
  5. Step 5: Solve for x
    x = 2,505,859,048.07/77,668.66
  6. Step 6: Final answer
    x = 32,263.45

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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.