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Finding the Fourth Proportional to 212,550.12, 293,316.96 and 117,054.78

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Solution

The fourth proportional to 212,550.12, 293,316.96 and 117,054.78 is: 161,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,550.12 : 293,316.96 = 117,054.78 : x
  2. Step 2: Convert to fraction form
    212,550.12/293,316.96 = 117,054.78/x
  3. Step 3: Cross multiply
    212,550.12x = 293,316.96 × 117,054.78
  4. Step 4: Simplify right side
    212,550.12x = 34,334,152,223.07
  5. Step 5: Solve for x
    x = 34,334,152,223.07/212,550.12
  6. Step 6: Final answer
    x = 161,534.38

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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.