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Finding the Fourth Proportional to 131,636.48, 181,594 and 86,294.48

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Solution

The fourth proportional to 131,636.48, 181,594 and 86,294.48 is: 119,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,636.48 : 181,594 = 86,294.48 : x
  2. Step 2: Convert to fraction form
    131,636.48/181,594 = 86,294.48/x
  3. Step 3: Cross multiply
    131,636.48x = 181,594 × 86,294.48
  4. Step 4: Simplify right side
    131,636.48x = 15,670,559,801.12
  5. Step 5: Solve for x
    x = 15,670,559,801.12/131,636.48
  6. Step 6: Final answer
    x = 119,044.20

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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.