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Finding the Fourth Proportional to 185,112, 255,489.12 and 105,624

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Solution

The fourth proportional to 185,112, 255,489.12 and 105,624 is: 145,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,112 : 255,489.12 = 105,624 : x
  2. Step 2: Convert to fraction form
    185,112/255,489.12 = 105,624/x
  3. Step 3: Cross multiply
    185,112x = 255,489.12 × 105,624
  4. Step 4: Simplify right side
    185,112x = 26,985,782,810.88
  5. Step 5: Solve for x
    x = 26,985,782,810.88/185,112
  6. Step 6: Final answer
    x = 145,780.84

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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.