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Finding the Fourth Proportional to 89,881.50, 124,036.47 and 50,137.50

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Solution

The fourth proportional to 89,881.50, 124,036.47 and 50,137.50 is: 69,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,881.50 : 124,036.47 = 50,137.50 : x
  2. Step 2: Convert to fraction form
    89,881.50/124,036.47 = 50,137.50/x
  3. Step 3: Cross multiply
    89,881.50x = 124,036.47 × 50,137.50
  4. Step 4: Simplify right side
    89,881.50x = 6,218,878,514.63
  5. Step 5: Solve for x
    x = 6,218,878,514.63/89,881.50
  6. Step 6: Final answer
    x = 69,189.75

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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.