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Finding the Fourth Proportional to 219,721.02, 329,607.90 and 77,536.93

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Solution

The fourth proportional to 219,721.02, 329,607.90 and 77,536.93 is: 116,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,721.02 : 329,607.90 = 77,536.93 : x
  2. Step 2: Convert to fraction form
    219,721.02/329,607.90 = 77,536.93/x
  3. Step 3: Cross multiply
    219,721.02x = 329,607.90 × 77,536.93
  4. Step 4: Simplify right side
    219,721.02x = 25,556,785,527.17
  5. Step 5: Solve for x
    x = 25,556,785,527.17/219,721.02
  6. Step 6: Final answer
    x = 116,314.71

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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.