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Finding the Fourth Proportional to 90,953.16, 136,515.06 and 55,961.16

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Solution

The fourth proportional to 90,953.16, 136,515.06 and 55,961.16 is: 83,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,953.16 : 136,515.06 = 55,961.16 : x
  2. Step 2: Convert to fraction form
    90,953.16/136,515.06 = 55,961.16/x
  3. Step 3: Cross multiply
    90,953.16x = 136,515.06 × 55,961.16
  4. Step 4: Simplify right side
    90,953.16x = 7,639,541,115.07
  5. Step 5: Solve for x
    x = 7,639,541,115.07/90,953.16
  6. Step 6: Final answer
    x = 83,994.24

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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.