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Finding the Fourth Proportional to 157,737, 236,570.12 and 45,392.20

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Solution

The fourth proportional to 157,737, 236,570.12 and 45,392.20 is: 68,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,737 : 236,570.12 = 45,392.20 : x
  2. Step 2: Convert to fraction form
    157,737/236,570.12 = 45,392.20/x
  3. Step 3: Cross multiply
    157,737x = 236,570.12 × 45,392.20
  4. Step 4: Simplify right side
    157,737x = 10,738,438,201.06
  5. Step 5: Solve for x
    x = 10,738,438,201.06/157,737
  6. Step 6: Final answer
    x = 68,078.12

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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.