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Finding the Fourth Proportional to 187,657.36, 258,969.36 and 102,778

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Solution

The fourth proportional to 187,657.36, 258,969.36 and 102,778 is: 141,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,657.36 : 258,969.36 = 102,778 : x
  2. Step 2: Convert to fraction form
    187,657.36/258,969.36 = 102,778/x
  3. Step 3: Cross multiply
    187,657.36x = 258,969.36 × 102,778
  4. Step 4: Simplify right side
    187,657.36x = 26,616,352,882.08
  5. Step 5: Solve for x
    x = 26,616,352,882.08/187,657.36
  6. Step 6: Final answer
    x = 141,834.85

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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.