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Finding the Fourth Proportional to 124,161.34, 185,907.37 and 78,938.11

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Solution

The fourth proportional to 124,161.34, 185,907.37 and 78,938.11 is: 118,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,161.34 : 185,907.37 = 78,938.11 : x
  2. Step 2: Convert to fraction form
    124,161.34/185,907.37 = 78,938.11/x
  3. Step 3: Cross multiply
    124,161.34x = 185,907.37 × 78,938.11
  4. Step 4: Simplify right side
    124,161.34x = 14,675,176,028.18
  5. Step 5: Solve for x
    x = 14,675,176,028.18/124,161.34
  6. Step 6: Final answer
    x = 118,194.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.