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Finding the Fourth Proportional to 238,122.70, 357,136.45 and 111,730.43

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Solution

The fourth proportional to 238,122.70, 357,136.45 and 111,730.43 is: 167,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,122.70 : 357,136.45 = 111,730.43 : x
  2. Step 2: Convert to fraction form
    238,122.70/357,136.45 = 111,730.43/x
  3. Step 3: Cross multiply
    238,122.70x = 357,136.45 × 111,730.43
  4. Step 4: Simplify right side
    238,122.70x = 39,903,009,127.17
  5. Step 5: Solve for x
    x = 39,903,009,127.17/238,122.70
  6. Step 6: Final answer
    x = 167,573.31

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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.