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Finding the Fourth Proportional to 180,961.49, 249,699.81 and 100,388.77

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Solution

The fourth proportional to 180,961.49, 249,699.81 and 100,388.77 is: 138,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,961.49 : 249,699.81 = 100,388.77 : x
  2. Step 2: Convert to fraction form
    180,961.49/249,699.81 = 100,388.77/x
  3. Step 3: Cross multiply
    180,961.49x = 249,699.81 × 100,388.77
  4. Step 4: Simplify right side
    180,961.49x = 25,067,056,547.34
  5. Step 5: Solve for x
    x = 25,067,056,547.34/180,961.49
  6. Step 6: Final answer
    x = 138,521.50

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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.