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Finding the Fourth Proportional to 180,728.10, 249,405.42 and 100,157

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Solution

The fourth proportional to 180,728.10, 249,405.42 and 100,157 is: 138,217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,728.10 : 249,405.42 = 100,157 : x
  2. Step 2: Convert to fraction form
    180,728.10/249,405.42 = 100,157/x
  3. Step 3: Cross multiply
    180,728.10x = 249,405.42 × 100,157
  4. Step 4: Simplify right side
    180,728.10x = 24,979,698,650.94
  5. Step 5: Solve for x
    x = 24,979,698,650.94/180,728.10
  6. Step 6: Final answer
    x = 138,217.02

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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.