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Finding the Fourth Proportional to 208,128.96, 312,188.49 and 119,317.32

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Solution

The fourth proportional to 208,128.96, 312,188.49 and 119,317.32 is: 178,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,128.96 : 312,188.49 = 119,317.32 : x
  2. Step 2: Convert to fraction form
    208,128.96/312,188.49 = 119,317.32/x
  3. Step 3: Cross multiply
    208,128.96x = 312,188.49 × 119,317.32
  4. Step 4: Simplify right side
    208,128.96x = 37,249,493,961.65
  5. Step 5: Solve for x
    x = 37,249,493,961.65/208,128.96
  6. Step 6: Final answer
    x = 178,973.14

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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.