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Finding the Fourth Proportional to 89,046, 122,887.32 and 49,302

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Solution

The fourth proportional to 89,046, 122,887.32 and 49,302 is: 68,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,046 : 122,887.32 = 49,302 : x
  2. Step 2: Convert to fraction form
    89,046/122,887.32 = 49,302/x
  3. Step 3: Cross multiply
    89,046x = 122,887.32 × 49,302
  4. Step 4: Simplify right side
    89,046x = 6,058,590,650.64
  5. Step 5: Solve for x
    x = 6,058,590,650.64/89,046
  6. Step 6: Final answer
    x = 68,038.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.