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Finding the Fourth Proportional to 186,978.94, 258,029.91 and 102,095.40

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Solution

The fourth proportional to 186,978.94, 258,029.91 and 102,095.40 is: 140,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,978.94 : 258,029.91 = 102,095.40 : x
  2. Step 2: Convert to fraction form
    186,978.94/258,029.91 = 102,095.40/x
  3. Step 3: Cross multiply
    186,978.94x = 258,029.91 × 102,095.40
  4. Step 4: Simplify right side
    186,978.94x = 26,343,666,873.41
  5. Step 5: Solve for x
    x = 26,343,666,873.41/186,978.94
  6. Step 6: Final answer
    x = 140,891.09

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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.