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Finding the Fourth Proportional to 180,647.70, 249,309.14 and 100,100.49

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Solution

The fourth proportional to 180,647.70, 249,309.14 and 100,100.49 is: 138,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,647.70 : 249,309.14 = 100,100.49 : x
  2. Step 2: Convert to fraction form
    180,647.70/249,309.14 = 100,100.49/x
  3. Step 3: Cross multiply
    180,647.70x = 249,309.14 × 100,100.49
  4. Step 4: Simplify right side
    180,647.70x = 24,955,966,574.98
  5. Step 5: Solve for x
    x = 24,955,966,574.98/180,647.70
  6. Step 6: Final answer
    x = 138,147.16

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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.