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Finding the Fourth Proportional to 180,898.78, 249,623.82 and 100,326.06

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Solution

The fourth proportional to 180,898.78, 249,623.82 and 100,326.06 is: 138,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,898.78 : 249,623.82 = 100,326.06 : x
  2. Step 2: Convert to fraction form
    180,898.78/249,623.82 = 100,326.06/x
  3. Step 3: Cross multiply
    180,898.78x = 249,623.82 × 100,326.06
  4. Step 4: Simplify right side
    180,898.78x = 25,043,774,342.75
  5. Step 5: Solve for x
    x = 25,043,774,342.75/180,898.78
  6. Step 6: Final answer
    x = 138,440.81

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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.