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Finding the Fourth Proportional to 78,431, 117,580.35 and 34,024.31

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Solution

The fourth proportional to 78,431, 117,580.35 and 34,024.31 is: 51,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431 : 117,580.35 = 34,024.31 : x
  2. Step 2: Convert to fraction form
    78,431/117,580.35 = 34,024.31/x
  3. Step 3: Cross multiply
    78,431x = 117,580.35 × 34,024.31
  4. Step 4: Simplify right side
    78,431x = 4,000,590,278.31
  5. Step 5: Solve for x
    x = 4,000,590,278.31/78,431
  6. Step 6: Final answer
    x = 51,007.77

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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.