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Finding the Fourth Proportional to 180,991.74, 249,782.30 and 100,434.50

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Solution

The fourth proportional to 180,991.74, 249,782.30 and 100,434.50 is: 138,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,991.74 : 249,782.30 = 100,434.50 : x
  2. Step 2: Convert to fraction form
    180,991.74/249,782.30 = 100,434.50/x
  3. Step 3: Cross multiply
    180,991.74x = 249,782.30 × 100,434.50
  4. Step 4: Simplify right side
    180,991.74x = 25,086,760,409.35
  5. Step 5: Solve for x
    x = 25,086,760,409.35/180,991.74
  6. Step 6: Final answer
    x = 138,607.21

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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.