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Finding the Fourth Proportional to 78,434.88, 117,652.65 and 19,270.56

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Solution

The fourth proportional to 78,434.88, 117,652.65 and 19,270.56 is: 28,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,434.88 : 117,652.65 = 19,270.56 : x
  2. Step 2: Convert to fraction form
    78,434.88/117,652.65 = 19,270.56/x
  3. Step 3: Cross multiply
    78,434.88x = 117,652.65 × 19,270.56
  4. Step 4: Simplify right side
    78,434.88x = 2,267,232,450.98
  5. Step 5: Solve for x
    x = 2,267,232,450.98/78,434.88
  6. Step 6: Final answer
    x = 28,905.92

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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.