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Finding the Fourth Proportional to 138,615.52, 191,289.28 and 74,953.16

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Solution

The fourth proportional to 138,615.52, 191,289.28 and 74,953.16 is: 103,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,615.52 : 191,289.28 = 74,953.16 : x
  2. Step 2: Convert to fraction form
    138,615.52/191,289.28 = 74,953.16/x
  3. Step 3: Cross multiply
    138,615.52x = 191,289.28 × 74,953.16
  4. Step 4: Simplify right side
    138,615.52x = 14,337,735,835.06
  5. Step 5: Solve for x
    x = 14,337,735,835.06/138,615.52
  6. Step 6: Final answer
    x = 103,435.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.