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Finding the Fourth Proportional to 180,722.73, 249,398.81 and 100,151.59

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Solution

The fourth proportional to 180,722.73, 249,398.81 and 100,151.59 is: 138,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,722.73 : 249,398.81 = 100,151.59 : x
  2. Step 2: Convert to fraction form
    180,722.73/249,398.81 = 100,151.59/x
  3. Step 3: Cross multiply
    180,722.73x = 249,398.81 × 100,151.59
  4. Step 4: Simplify right side
    180,722.73x = 24,977,685,929.60
  5. Step 5: Solve for x
    x = 24,977,685,929.60/180,722.73
  6. Step 6: Final answer
    x = 138,209.99

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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.