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Finding the Fourth Proportional to 78,150, 107,849.21 and 44,159.93

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Solution

The fourth proportional to 78,150, 107,849.21 and 44,159.93 is: 60,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,150 : 107,849.21 = 44,159.93 : x
  2. Step 2: Convert to fraction form
    78,150/107,849.21 = 44,159.93/x
  3. Step 3: Cross multiply
    78,150x = 107,849.21 × 44,159.93
  4. Step 4: Simplify right side
    78,150x = 4,762,612,804.11
  5. Step 5: Solve for x
    x = 4,762,612,804.11/78,150
  6. Step 6: Final answer
    x = 60,941.94

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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.