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Finding the Fourth Proportional to 177,386.67, 265,938.72 and 102,421.78

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Solution

The fourth proportional to 177,386.67, 265,938.72 and 102,421.78 is: 153,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,386.67 : 265,938.72 = 102,421.78 : x
  2. Step 2: Convert to fraction form
    177,386.67/265,938.72 = 102,421.78/x
  3. Step 3: Cross multiply
    177,386.67x = 265,938.72 × 102,421.78
  4. Step 4: Simplify right side
    177,386.67x = 27,237,917,073.32
  5. Step 5: Solve for x
    x = 27,237,917,073.32/177,386.67
  6. Step 6: Final answer
    x = 153,551.09

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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.