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Finding the Fourth Proportional to 137,805.34, 190,159.74 and 83,377.78

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Solution

The fourth proportional to 137,805.34, 190,159.74 and 83,377.78 is: 115,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,805.34 : 190,159.74 = 83,377.78 : x
  2. Step 2: Convert to fraction form
    137,805.34/190,159.74 = 83,377.78/x
  3. Step 3: Cross multiply
    137,805.34x = 190,159.74 × 83,377.78
  4. Step 4: Simplify right side
    137,805.34x = 15,855,096,966.58
  5. Step 5: Solve for x
    x = 15,855,096,966.58/137,805.34
  6. Step 6: Final answer
    x = 115,054.30

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1.5x scale

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.