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Finding the Fourth Proportional to 188,970.35, 260,779.44 and 102,929.07

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Solution

The fourth proportional to 188,970.35, 260,779.44 and 102,929.07 is: 142,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,970.35 : 260,779.44 = 102,929.07 : x
  2. Step 2: Convert to fraction form
    188,970.35/260,779.44 = 102,929.07/x
  3. Step 3: Cross multiply
    188,970.35x = 260,779.44 × 102,929.07
  4. Step 4: Simplify right side
    188,970.35x = 26,841,783,930.42
  5. Step 5: Solve for x
    x = 26,841,783,930.42/188,970.35
  6. Step 6: Final answer
    x = 142,042.31

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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.