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Finding the Fourth Proportional to 201,042.95, 277,461.42 and 115,009.86

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Solution

The fourth proportional to 201,042.95, 277,461.42 and 115,009.86 is: 158,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042.95 : 277,461.42 = 115,009.86 : x
  2. Step 2: Convert to fraction form
    201,042.95/277,461.42 = 115,009.86/x
  3. Step 3: Cross multiply
    201,042.95x = 277,461.42 × 115,009.86
  4. Step 4: Simplify right side
    201,042.95x = 31,910,799,069.60
  5. Step 5: Solve for x
    x = 31,910,799,069.60/201,042.95
  6. Step 6: Final answer
    x = 158,726.28

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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.