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Finding the Fourth Proportional to 101,521.04, 140,097 and 56,199

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Solution

The fourth proportional to 101,521.04, 140,097 and 56,199 is: 77,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,521.04 : 140,097 = 56,199 : x
  2. Step 2: Convert to fraction form
    101,521.04/140,097 = 56,199/x
  3. Step 3: Cross multiply
    101,521.04x = 140,097 × 56,199
  4. Step 4: Simplify right side
    101,521.04x = 7,873,311,303
  5. Step 5: Solve for x
    x = 7,873,311,303/101,521.04
  6. Step 6: Final answer
    x = 77,553.49

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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.