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Finding the Fourth Proportional to 177,308.48, 265,732.92 and 72,005.12

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Solution

The fourth proportional to 177,308.48, 265,732.92 and 72,005.12 is: 107,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,308.48 : 265,732.92 = 72,005.12 : x
  2. Step 2: Convert to fraction form
    177,308.48/265,732.92 = 72,005.12/x
  3. Step 3: Cross multiply
    177,308.48x = 265,732.92 × 72,005.12
  4. Step 4: Simplify right side
    177,308.48x = 19,134,130,792.55
  5. Step 5: Solve for x
    x = 19,134,130,792.55/177,308.48
  6. Step 6: Final answer
    x = 107,914.36

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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.