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Finding the Fourth Proportional to 180,960, 249,725.04 and 100,384.80

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Solution

The fourth proportional to 180,960, 249,725.04 and 100,384.80 is: 138,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,960 : 249,725.04 = 100,384.80 : x
  2. Step 2: Convert to fraction form
    180,960/249,725.04 = 100,384.80/x
  3. Step 3: Cross multiply
    180,960x = 249,725.04 × 100,384.80
  4. Step 4: Simplify right side
    180,960x = 25,068,598,195.39
  5. Step 5: Solve for x
    x = 25,068,598,195.39/180,960
  6. Step 6: Final answer
    x = 138,531.16

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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.