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Finding the Fourth Proportional to 180,585.78, 249,205.31 and 100,011.57

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Solution

The fourth proportional to 180,585.78, 249,205.31 and 100,011.57 is: 138,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,585.78 : 249,205.31 = 100,011.57 : x
  2. Step 2: Convert to fraction form
    180,585.78/249,205.31 = 100,011.57/x
  3. Step 3: Cross multiply
    180,585.78x = 249,205.31 × 100,011.57
  4. Step 4: Simplify right side
    180,585.78x = 24,923,413,805.38
  5. Step 5: Solve for x
    x = 24,923,413,805.38/180,585.78
  6. Step 6: Final answer
    x = 138,014.27

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1.5x scale

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.