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Finding the Fourth Proportional to 137,953.86, 190,377.57 and 83,507.28

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Solution

The fourth proportional to 137,953.86, 190,377.57 and 83,507.28 is: 115,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,953.86 : 190,377.57 = 83,507.28 : x
  2. Step 2: Convert to fraction form
    137,953.86/190,377.57 = 83,507.28/x
  3. Step 3: Cross multiply
    137,953.86x = 190,377.57 × 83,507.28
  4. Step 4: Simplify right side
    137,953.86x = 15,897,913,043.71
  5. Step 5: Solve for x
    x = 15,897,913,043.71/137,953.86
  6. Step 6: Final answer
    x = 115,240.80

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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.