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Finding the Fourth Proportional to 214,610, 296,161.80 and 139,159.04

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Solution

The fourth proportional to 214,610, 296,161.80 and 139,159.04 is: 192,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,610 : 296,161.80 = 139,159.04 : x
  2. Step 2: Convert to fraction form
    214,610/296,161.80 = 139,159.04/x
  3. Step 3: Cross multiply
    214,610x = 296,161.80 × 139,159.04
  4. Step 4: Simplify right side
    214,610x = 41,213,591,772.67
  5. Step 5: Solve for x
    x = 41,213,591,772.67/214,610
  6. Step 6: Final answer
    x = 192,039.48

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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.