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Finding the Fourth Proportional to 229,709.60, 317,006.12 and 139,082.16

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Solution

The fourth proportional to 229,709.60, 317,006.12 and 139,082.16 is: 191,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,709.60 : 317,006.12 = 139,082.16 : x
  2. Step 2: Convert to fraction form
    229,709.60/317,006.12 = 139,082.16/x
  3. Step 3: Cross multiply
    229,709.60x = 317,006.12 × 139,082.16
  4. Step 4: Simplify right side
    229,709.60x = 44,089,895,902.82
  5. Step 5: Solve for x
    x = 44,089,895,902.82/229,709.60
  6. Step 6: Final answer
    x = 191,937.54

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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.