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Finding the Fourth Proportional to 102,995.66, 154,368.72 and 43,706.78

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Solution

The fourth proportional to 102,995.66, 154,368.72 and 43,706.78 is: 65,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,995.66 : 154,368.72 = 43,706.78 : x
  2. Step 2: Convert to fraction form
    102,995.66/154,368.72 = 43,706.78/x
  3. Step 3: Cross multiply
    102,995.66x = 154,368.72 × 43,706.78
  4. Step 4: Simplify right side
    102,995.66x = 6,746,959,683.92
  5. Step 5: Solve for x
    x = 6,746,959,683.92/102,995.66
  6. Step 6: Final answer
    x = 65,507.22

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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.