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Finding the Fourth Proportional to 180,995.76, 249,787.84 and 100,438.52

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Solution

The fourth proportional to 180,995.76, 249,787.84 and 100,438.52 is: 138,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,995.76 : 249,787.84 = 100,438.52 : x
  2. Step 2: Convert to fraction form
    180,995.76/249,787.84 = 100,438.52/x
  3. Step 3: Cross multiply
    180,995.76x = 249,787.84 × 100,438.52
  4. Step 4: Simplify right side
    180,995.76x = 25,088,320,963.60
  5. Step 5: Solve for x
    x = 25,088,320,963.60/180,995.76
  6. Step 6: Final answer
    x = 138,612.76

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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.