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Finding the Fourth Proportional to 89,870.76, 123,983.19 and 54,039.60

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Solution

The fourth proportional to 89,870.76, 123,983.19 and 54,039.60 is: 74,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,870.76 : 123,983.19 = 54,039.60 : x
  2. Step 2: Convert to fraction form
    89,870.76/123,983.19 = 54,039.60/x
  3. Step 3: Cross multiply
    89,870.76x = 123,983.19 × 54,039.60
  4. Step 4: Simplify right side
    89,870.76x = 6,700,001,994.32
  5. Step 5: Solve for x
    x = 6,700,001,994.32/89,870.76
  6. Step 6: Final answer
    x = 74,551.52

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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.