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Finding the Fourth Proportional to 180,903.16, 249,658.37 and 100,334.08

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Solution

The fourth proportional to 180,903.16, 249,658.37 and 100,334.08 is: 138,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,903.16 : 249,658.37 = 100,334.08 : x
  2. Step 2: Convert to fraction form
    180,903.16/249,658.37 = 100,334.08/x
  3. Step 3: Cross multiply
    180,903.16x = 249,658.37 × 100,334.08
  4. Step 4: Simplify right side
    180,903.16x = 25,049,242,868.25
  5. Step 5: Solve for x
    x = 25,049,242,868.25/180,903.16
  6. Step 6: Final answer
    x = 138,467.69

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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.