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Finding the Fourth Proportional to 89,643.12, 134,461.44 and 27,312

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Solution

The fourth proportional to 89,643.12, 134,461.44 and 27,312 is: 40,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,643.12 : 134,461.44 = 27,312 : x
  2. Step 2: Convert to fraction form
    89,643.12/134,461.44 = 27,312/x
  3. Step 3: Cross multiply
    89,643.12x = 134,461.44 × 27,312
  4. Step 4: Simplify right side
    89,643.12x = 3,672,410,849.28
  5. Step 5: Solve for x
    x = 3,672,410,849.28/89,643.12
  6. Step 6: Final answer
    x = 40,967.01

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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.