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Finding the Fourth Proportional to 180,540.95, 249,129.16 and 107,929.49

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Solution

The fourth proportional to 180,540.95, 249,129.16 and 107,929.49 is: 148,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,540.95 : 249,129.16 = 107,929.49 : x
  2. Step 2: Convert to fraction form
    180,540.95/249,129.16 = 107,929.49/x
  3. Step 3: Cross multiply
    180,540.95x = 249,129.16 × 107,929.49
  4. Step 4: Simplify right side
    180,540.95x = 26,888,381,667.46
  5. Step 5: Solve for x
    x = 26,888,381,667.46/180,540.95
  6. Step 6: Final answer
    x = 148,932.32

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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.