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Finding the Fourth Proportional to 138,559.51, 191,211.84 and 74,897.16

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Solution

The fourth proportional to 138,559.51, 191,211.84 and 74,897.16 is: 103,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,559.51 : 191,211.84 = 74,897.16 : x
  2. Step 2: Convert to fraction form
    138,559.51/191,211.84 = 74,897.16/x
  3. Step 3: Cross multiply
    138,559.51x = 191,211.84 × 74,897.16
  4. Step 4: Simplify right side
    138,559.51x = 14,321,223,057.33
  5. Step 5: Solve for x
    x = 14,321,223,057.33/138,559.51
  6. Step 6: Final answer
    x = 103,357.92

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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.