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Finding the Fourth Proportional to 101,398, 152,117.40 and 31,274.32

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Solution

The fourth proportional to 101,398, 152,117.40 and 31,274.32 is: 46,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398 : 152,117.40 = 31,274.32 : x
  2. Step 2: Convert to fraction form
    101,398/152,117.40 = 31,274.32/x
  3. Step 3: Cross multiply
    101,398x = 152,117.40 × 31,274.32
  4. Step 4: Simplify right side
    101,398x = 4,757,368,245.17
  5. Step 5: Solve for x
    x = 4,757,368,245.17/101,398
  6. Step 6: Final answer
    x = 46,917.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.