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Finding the Fourth Proportional to 163,814.78, 245,721.97 and 51,504.81

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Solution

The fourth proportional to 163,814.78, 245,721.97 and 51,504.81 is: 77,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,814.78 : 245,721.97 = 51,504.81 : x
  2. Step 2: Convert to fraction form
    163,814.78/245,721.97 = 51,504.81/x
  3. Step 3: Cross multiply
    163,814.78x = 245,721.97 × 51,504.81
  4. Step 4: Simplify right side
    163,814.78x = 12,655,862,020.30
  5. Step 5: Solve for x
    x = 12,655,862,020.30/163,814.78
  6. Step 6: Final answer
    x = 77,257.14

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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.