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Finding the Fourth Proportional to 137,659, 190,036.16 and 92,320.40

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Solution

The fourth proportional to 137,659, 190,036.16 and 92,320.40 is: 127,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,659 : 190,036.16 = 92,320.40 : x
  2. Step 2: Convert to fraction form
    137,659/190,036.16 = 92,320.40/x
  3. Step 3: Cross multiply
    137,659x = 190,036.16 × 92,320.40
  4. Step 4: Simplify right side
    137,659x = 17,544,214,305.66
  5. Step 5: Solve for x
    x = 17,544,214,305.66/137,659
  6. Step 6: Final answer
    x = 127,446.91

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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.