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Finding the Fourth Proportional to 254,853, 382,325.61 and 105,009.96

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Solution

The fourth proportional to 254,853, 382,325.61 and 105,009.96 is: 157,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,853 : 382,325.61 = 105,009.96 : x
  2. Step 2: Convert to fraction form
    254,853/382,325.61 = 105,009.96/x
  3. Step 3: Cross multiply
    254,853x = 382,325.61 × 105,009.96
  4. Step 4: Simplify right side
    254,853x = 40,147,997,013.08
  5. Step 5: Solve for x
    x = 40,147,997,013.08/254,853
  6. Step 6: Final answer
    x = 157,533.94

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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.