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Finding the Fourth Proportional to 180,848, 249,573.28 and 100,278.88

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Solution

The fourth proportional to 180,848, 249,573.28 and 100,278.88 is: 138,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,848 : 249,573.28 = 100,278.88 : x
  2. Step 2: Convert to fraction form
    180,848/249,573.28 = 100,278.88/x
  3. Step 3: Cross multiply
    180,848x = 249,573.28 × 100,278.88
  4. Step 4: Simplify right side
    180,848x = 25,026,928,996.33
  5. Step 5: Solve for x
    x = 25,026,928,996.33/180,848
  6. Step 6: Final answer
    x = 138,386.54

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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.