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Finding the Fourth Proportional to 144,866.78, 217,362.59 and 78,353.74

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Solution

The fourth proportional to 144,866.78, 217,362.59 and 78,353.74 is: 117,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,866.78 : 217,362.59 = 78,353.74 : x
  2. Step 2: Convert to fraction form
    144,866.78/217,362.59 = 78,353.74/x
  3. Step 3: Cross multiply
    144,866.78x = 217,362.59 × 78,353.74
  4. Step 4: Simplify right side
    144,866.78x = 17,031,171,862.59
  5. Step 5: Solve for x
    x = 17,031,171,862.59/144,866.78
  6. Step 6: Final answer
    x = 117,564.37

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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.