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Finding the Fourth Proportional to 89,762.49, 123,872.49 and 53,973

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Solution

The fourth proportional to 89,762.49, 123,872.49 and 53,973 is: 74,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762.49 : 123,872.49 = 53,973 : x
  2. Step 2: Convert to fraction form
    89,762.49/123,872.49 = 53,973/x
  3. Step 3: Cross multiply
    89,762.49x = 123,872.49 × 53,973
  4. Step 4: Simplify right side
    89,762.49x = 6,685,769,902.77
  5. Step 5: Solve for x
    x = 6,685,769,902.77/89,762.49
  6. Step 6: Final answer
    x = 74,482.89

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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.