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Finding the Fourth Proportional to 138,802.32, 191,870.02 and 123,843.24

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Solution

The fourth proportional to 138,802.32, 191,870.02 and 123,843.24 is: 171,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802.32 : 191,870.02 = 123,843.24 : x
  2. Step 2: Convert to fraction form
    138,802.32/191,870.02 = 123,843.24/x
  3. Step 3: Cross multiply
    138,802.32x = 191,870.02 × 123,843.24
  4. Step 4: Simplify right side
    138,802.32x = 23,761,804,935.66
  5. Step 5: Solve for x
    x = 23,761,804,935.66/138,802.32
  6. Step 6: Final answer
    x = 171,191.70

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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.