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Finding the Fourth Proportional to 180,470.64, 249,046.46 and 99,896.43

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Solution

The fourth proportional to 180,470.64, 249,046.46 and 99,896.43 is: 137,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,470.64 : 249,046.46 = 99,896.43 : x
  2. Step 2: Convert to fraction form
    180,470.64/249,046.46 = 99,896.43/x
  3. Step 3: Cross multiply
    180,470.64x = 249,046.46 × 99,896.43
  4. Step 4: Simplify right side
    180,470.64x = 24,878,852,258.14
  5. Step 5: Solve for x
    x = 24,878,852,258.14/180,470.64
  6. Step 6: Final answer
    x = 137,855.40

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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.