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Finding the Fourth Proportional to 113,689.92, 156,935.16 and 89,428.08

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Solution

The fourth proportional to 113,689.92, 156,935.16 and 89,428.08 is: 123,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,689.92 : 156,935.16 = 89,428.08 : x
  2. Step 2: Convert to fraction form
    113,689.92/156,935.16 = 89,428.08/x
  3. Step 3: Cross multiply
    113,689.92x = 156,935.16 × 89,428.08
  4. Step 4: Simplify right side
    113,689.92x = 14,034,410,043.29
  5. Step 5: Solve for x
    x = 14,034,410,043.29/113,689.92
  6. Step 6: Final answer
    x = 123,444.63

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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.