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Finding the Fourth Proportional to 78,941.79, 118,409.97 and 19,777.98

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Solution

The fourth proportional to 78,941.79, 118,409.97 and 19,777.98 is: 29,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,941.79 : 118,409.97 = 19,777.98 : x
  2. Step 2: Convert to fraction form
    78,941.79/118,409.97 = 19,777.98/x
  3. Step 3: Cross multiply
    78,941.79x = 118,409.97 × 19,777.98
  4. Step 4: Simplify right side
    78,941.79x = 2,341,910,018.46
  5. Step 5: Solve for x
    x = 2,341,910,018.46/78,941.79
  6. Step 6: Final answer
    x = 29,666.29

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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.