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Finding the Fourth Proportional to 129,510.81, 194,297.31 and 49,547.46

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Solution

The fourth proportional to 129,510.81, 194,297.31 and 49,547.46 is: 74,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,510.81 : 194,297.31 = 49,547.46 : x
  2. Step 2: Convert to fraction form
    129,510.81/194,297.31 = 49,547.46/x
  3. Step 3: Cross multiply
    129,510.81x = 194,297.31 × 49,547.46
  4. Step 4: Simplify right side
    129,510.81x = 9,626,938,195.33
  5. Step 5: Solve for x
    x = 9,626,938,195.33/129,510.81
  6. Step 6: Final answer
    x = 74,333.09

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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.