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Finding the Fourth Proportional to 78,149.34, 117,224.01 and 51,905.34

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Solution

The fourth proportional to 78,149.34, 117,224.01 and 51,905.34 is: 77,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.34 : 117,224.01 = 51,905.34 : x
  2. Step 2: Convert to fraction form
    78,149.34/117,224.01 = 51,905.34/x
  3. Step 3: Cross multiply
    78,149.34x = 117,224.01 × 51,905.34
  4. Step 4: Simplify right side
    78,149.34x = 6,084,552,095.21
  5. Step 5: Solve for x
    x = 6,084,552,095.21/78,149.34
  6. Step 6: Final answer
    x = 77,858.01

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1.5x scale

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.