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Finding the Fourth Proportional to 89,828.91, 123,978.60 and 54,038.70

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Solution

The fourth proportional to 89,828.91, 123,978.60 and 54,038.70 is: 74,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,828.91 : 123,978.60 = 54,038.70 : x
  2. Step 2: Convert to fraction form
    89,828.91/123,978.60 = 54,038.70/x
  3. Step 3: Cross multiply
    89,828.91x = 123,978.60 × 54,038.70
  4. Step 4: Simplify right side
    89,828.91x = 6,699,642,371.82
  5. Step 5: Solve for x
    x = 6,699,642,371.82/89,828.91
  6. Step 6: Final answer
    x = 74,582.25

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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.