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Finding the Fourth Proportional to 147,619.71, 203,726.48 and 83,953.71

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Solution

The fourth proportional to 147,619.71, 203,726.48 and 83,953.71 is: 115,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,619.71 : 203,726.48 = 83,953.71 : x
  2. Step 2: Convert to fraction form
    147,619.71/203,726.48 = 83,953.71/x
  3. Step 3: Cross multiply
    147,619.71x = 203,726.48 × 83,953.71
  4. Step 4: Simplify right side
    147,619.71x = 17,103,593,401.47
  5. Step 5: Solve for x
    x = 17,103,593,401.47/147,619.71
  6. Step 6: Final answer
    x = 115,862.53

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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.