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Finding the Fourth Proportional to 261,898.36, 361,428.42 and 147,196.96

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Solution

The fourth proportional to 261,898.36, 361,428.42 and 147,196.96 is: 203,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,898.36 : 361,428.42 = 147,196.96 : x
  2. Step 2: Convert to fraction form
    261,898.36/361,428.42 = 147,196.96/x
  3. Step 3: Cross multiply
    261,898.36x = 361,428.42 × 147,196.96
  4. Step 4: Simplify right side
    261,898.36x = 53,201,164,681.60
  5. Step 5: Solve for x
    x = 53,201,164,681.60/261,898.36
  6. Step 6: Final answer
    x = 203,136.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.