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Finding the Fourth Proportional to 115,772.44, 159,790.88 and 70,465

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Solution

The fourth proportional to 115,772.44, 159,790.88 and 70,465 is: 97,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,772.44 : 159,790.88 = 70,465 : x
  2. Step 2: Convert to fraction form
    115,772.44/159,790.88 = 70,465/x
  3. Step 3: Cross multiply
    115,772.44x = 159,790.88 × 70,465
  4. Step 4: Simplify right side
    115,772.44x = 11,259,664,359.20
  5. Step 5: Solve for x
    x = 11,259,664,359.20/115,772.44
  6. Step 6: Final answer
    x = 97,256.86

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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.