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Finding the Fourth Proportional to 180,967.77, 249,735.84 and 100,395.30

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Solution

The fourth proportional to 180,967.77, 249,735.84 and 100,395.30 is: 138,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,967.77 : 249,735.84 = 100,395.30 : x
  2. Step 2: Convert to fraction form
    180,967.77/249,735.84 = 100,395.30/x
  3. Step 3: Cross multiply
    180,967.77x = 249,735.84 × 100,395.30
  4. Step 4: Simplify right side
    180,967.77x = 25,072,304,577.55
  5. Step 5: Solve for x
    x = 25,072,304,577.55/180,967.77
  6. Step 6: Final answer
    x = 138,545.69

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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.