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Finding the Fourth Proportional to 180,500.78, 249,081.20 and 107,905.14

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Solution

The fourth proportional to 180,500.78, 249,081.20 and 107,905.14 is: 148,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,500.78 : 249,081.20 = 107,905.14 : x
  2. Step 2: Convert to fraction form
    180,500.78/249,081.20 = 107,905.14/x
  3. Step 3: Cross multiply
    180,500.78x = 249,081.20 × 107,905.14
  4. Step 4: Simplify right side
    180,500.78x = 26,877,141,757.37
  5. Step 5: Solve for x
    x = 26,877,141,757.37/180,500.78
  6. Step 6: Final answer
    x = 148,903.19

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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.