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Finding the Fourth Proportional to 281,916.74, 423,085.28 and 113,438.50

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Solution

The fourth proportional to 281,916.74, 423,085.28 and 113,438.50 is: 170,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,916.74 : 423,085.28 = 113,438.50 : x
  2. Step 2: Convert to fraction form
    281,916.74/423,085.28 = 113,438.50/x
  3. Step 3: Cross multiply
    281,916.74x = 423,085.28 × 113,438.50
  4. Step 4: Simplify right side
    281,916.74x = 47,994,157,910.37
  5. Step 5: Solve for x
    x = 47,994,157,910.37/281,916.74
  6. Step 6: Final answer
    x = 170,242.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.