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Finding the Fourth Proportional to 253,697.12, 350,097.58 and 138,978.04

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Solution

The fourth proportional to 253,697.12, 350,097.58 and 138,978.04 is: 191,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,697.12 : 350,097.58 = 138,978.04 : x
  2. Step 2: Convert to fraction form
    253,697.12/350,097.58 = 138,978.04/x
  3. Step 3: Cross multiply
    253,697.12x = 350,097.58 × 138,978.04
  4. Step 4: Simplify right side
    253,697.12x = 48,655,875,477.14
  5. Step 5: Solve for x
    x = 48,655,875,477.14/253,697.12
  6. Step 6: Final answer
    x = 191,787.26

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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.