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Finding the Fourth Proportional to 131,105.98, 180,941.80 and 74,525.86

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Solution

The fourth proportional to 131,105.98, 180,941.80 and 74,525.86 is: 102,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,105.98 : 180,941.80 = 74,525.86 : x
  2. Step 2: Convert to fraction form
    131,105.98/180,941.80 = 74,525.86/x
  3. Step 3: Cross multiply
    131,105.98x = 180,941.80 × 74,525.86
  4. Step 4: Simplify right side
    131,105.98x = 13,484,843,254.95
  5. Step 5: Solve for x
    x = 13,484,843,254.95/131,105.98
  6. Step 6: Final answer
    x = 102,854.52

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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.