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Finding the Fourth Proportional to 89,314.56, 133,971.72 and 26,985

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Solution

The fourth proportional to 89,314.56, 133,971.72 and 26,985 is: 40,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314.56 : 133,971.72 = 26,985 : x
  2. Step 2: Convert to fraction form
    89,314.56/133,971.72 = 26,985/x
  3. Step 3: Cross multiply
    89,314.56x = 133,971.72 × 26,985
  4. Step 4: Simplify right side
    89,314.56x = 3,615,226,864.20
  5. Step 5: Solve for x
    x = 3,615,226,864.20/89,314.56
  6. Step 6: Final answer
    x = 40,477.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.