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Finding the Fourth Proportional to 214,609, 296,160.42 and 139,158.04

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Solution

The fourth proportional to 214,609, 296,160.42 and 139,158.04 is: 192,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,609 : 296,160.42 = 139,158.04 : x
  2. Step 2: Convert to fraction form
    214,609/296,160.42 = 139,158.04/x
  3. Step 3: Cross multiply
    214,609x = 296,160.42 × 139,158.04
  4. Step 4: Simplify right side
    214,609x = 41,213,103,572.78
  5. Step 5: Solve for x
    x = 41,213,103,572.78/214,609
  6. Step 6: Final answer
    x = 192,038.10

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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.