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Finding the Fourth Proportional to 105,136.17, 157,725 and 38,576.85

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Solution

The fourth proportional to 105,136.17, 157,725 and 38,576.85 is: 57,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,136.17 : 157,725 = 38,576.85 : x
  2. Step 2: Convert to fraction form
    105,136.17/157,725 = 38,576.85/x
  3. Step 3: Cross multiply
    105,136.17x = 157,725 × 38,576.85
  4. Step 4: Simplify right side
    105,136.17x = 6,084,533,666.25
  5. Step 5: Solve for x
    x = 6,084,533,666.25/105,136.17
  6. Step 6: Final answer
    x = 57,872.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.