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Finding the Fourth Proportional to 102,842.10, 153,971.55 and 102,842.10

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Solution

The fourth proportional to 102,842.10, 153,971.55 and 102,842.10 is: 153,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,842.10 : 153,971.55 = 102,842.10 : x
  2. Step 2: Convert to fraction form
    102,842.10/153,971.55 = 102,842.10/x
  3. Step 3: Cross multiply
    102,842.10x = 153,971.55 × 102,842.10
  4. Step 4: Simplify right side
    102,842.10x = 15,834,757,542.26
  5. Step 5: Solve for x
    x = 15,834,757,542.26/102,842.10
  6. Step 6: Final answer
    x = 153,971.55

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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.