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Finding the Fourth Proportional to 151,355.08, 208,651.80 and 105,892.21

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Solution

The fourth proportional to 151,355.08, 208,651.80 and 105,892.21 is: 145,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,355.08 : 208,651.80 = 105,892.21 : x
  2. Step 2: Convert to fraction form
    151,355.08/208,651.80 = 105,892.21/x
  3. Step 3: Cross multiply
    151,355.08x = 208,651.80 × 105,892.21
  4. Step 4: Simplify right side
    151,355.08x = 22,094,600,222.48
  5. Step 5: Solve for x
    x = 22,094,600,222.48/151,355.08
  6. Step 6: Final answer
    x = 145,978.58

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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.