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Finding the Fourth Proportional to 180,877, 249,610.28 and 100,316.84

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Solution

The fourth proportional to 180,877, 249,610.28 and 100,316.84 is: 138,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,877 : 249,610.28 = 100,316.84 : x
  2. Step 2: Convert to fraction form
    180,877/249,610.28 = 100,316.84/x
  3. Step 3: Cross multiply
    180,877x = 249,610.28 × 100,316.84
  4. Step 4: Simplify right side
    180,877x = 25,040,114,521.12
  5. Step 5: Solve for x
    x = 25,040,114,521.12/180,877
  6. Step 6: Final answer
    x = 138,437.25

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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.