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Finding the Fourth Proportional to 180,728.16, 249,406.30 and 100,157

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Solution

The fourth proportional to 180,728.16, 249,406.30 and 100,157 is: 138,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,728.16 : 249,406.30 = 100,157 : x
  2. Step 2: Convert to fraction form
    180,728.16/249,406.30 = 100,157/x
  3. Step 3: Cross multiply
    180,728.16x = 249,406.30 × 100,157
  4. Step 4: Simplify right side
    180,728.16x = 24,979,786,789.10
  5. Step 5: Solve for x
    x = 24,979,786,789.10/180,728.16
  6. Step 6: Final answer
    x = 138,217.46

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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.