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Finding the Fourth Proportional to 180,921.30, 249,686.70 and 100,374.75

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Solution

The fourth proportional to 180,921.30, 249,686.70 and 100,374.75 is: 138,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,921.30 : 249,686.70 = 100,374.75 : x
  2. Step 2: Convert to fraction form
    180,921.30/249,686.70 = 100,374.75/x
  3. Step 3: Cross multiply
    180,921.30x = 249,686.70 × 100,374.75
  4. Step 4: Simplify right side
    180,921.30x = 25,062,240,090.83
  5. Step 5: Solve for x
    x = 25,062,240,090.83/180,921.30
  6. Step 6: Final answer
    x = 138,525.65

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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.