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Finding the Fourth Proportional to 185,303.77, 255,719.18 and 100,420.83

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Solution

The fourth proportional to 185,303.77, 255,719.18 and 100,420.83 is: 138,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,303.77 : 255,719.18 = 100,420.83 : x
  2. Step 2: Convert to fraction form
    185,303.77/255,719.18 = 100,420.83/x
  3. Step 3: Cross multiply
    185,303.77x = 255,719.18 × 100,420.83
  4. Step 4: Simplify right side
    185,303.77x = 25,679,531,988.70
  5. Step 5: Solve for x
    x = 25,679,531,988.70/185,303.77
  6. Step 6: Final answer
    x = 138,580.73

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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.