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Finding the Fourth Proportional to 209,420.36, 289,000.50 and 113,927.48

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Solution

The fourth proportional to 209,420.36, 289,000.50 and 113,927.48 is: 157,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,420.36 : 289,000.50 = 113,927.48 : x
  2. Step 2: Convert to fraction form
    209,420.36/289,000.50 = 113,927.48/x
  3. Step 3: Cross multiply
    209,420.36x = 289,000.50 × 113,927.48
  4. Step 4: Simplify right side
    209,420.36x = 32,925,098,683.74
  5. Step 5: Solve for x
    x = 32,925,098,683.74/209,420.36
  6. Step 6: Final answer
    x = 157,220.14

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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.