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Finding the Fourth Proportional to 212,861.70, 293,762.34 and 117,368.22

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Solution

The fourth proportional to 212,861.70, 293,762.34 and 117,368.22 is: 161,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,861.70 : 293,762.34 = 117,368.22 : x
  2. Step 2: Convert to fraction form
    212,861.70/293,762.34 = 117,368.22/x
  3. Step 3: Cross multiply
    212,861.70x = 293,762.34 × 117,368.22
  4. Step 4: Simplify right side
    212,861.70x = 34,478,362,948.83
  5. Step 5: Solve for x
    x = 34,478,362,948.83/212,861.70
  6. Step 6: Final answer
    x = 161,975.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.