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Finding the Fourth Proportional to 78,935.81, 118,400.96 and 19,771.98

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Solution

The fourth proportional to 78,935.81, 118,400.96 and 19,771.98 is: 29,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,935.81 : 118,400.96 = 19,771.98 : x
  2. Step 2: Convert to fraction form
    78,935.81/118,400.96 = 19,771.98/x
  3. Step 3: Cross multiply
    78,935.81x = 118,400.96 × 19,771.98
  4. Step 4: Simplify right side
    78,935.81x = 2,341,021,314.24
  5. Step 5: Solve for x
    x = 2,341,021,314.24/78,935.81
  6. Step 6: Final answer
    x = 29,657.28

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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.