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Finding the Fourth Proportional to 180,706.55, 249,384.42 and 100,143.14

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Solution

The fourth proportional to 180,706.55, 249,384.42 and 100,143.14 is: 138,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,706.55 : 249,384.42 = 100,143.14 : x
  2. Step 2: Convert to fraction form
    180,706.55/249,384.42 = 100,143.14/x
  3. Step 3: Cross multiply
    180,706.55x = 249,384.42 × 100,143.14
  4. Step 4: Simplify right side
    180,706.55x = 24,974,137,638.96
  5. Step 5: Solve for x
    x = 24,974,137,638.96/180,706.55
  6. Step 6: Final answer
    x = 138,202.73

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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.