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Finding the Fourth Proportional to 113,438.40, 169,898.40 and 66,782.40

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Solution

The fourth proportional to 113,438.40, 169,898.40 and 66,782.40 is: 100,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,438.40 : 169,898.40 = 66,782.40 : x
  2. Step 2: Convert to fraction form
    113,438.40/169,898.40 = 66,782.40/x
  3. Step 3: Cross multiply
    113,438.40x = 169,898.40 × 66,782.40
  4. Step 4: Simplify right side
    113,438.40x = 11,346,222,908.16
  5. Step 5: Solve for x
    x = 11,346,222,908.16/113,438.40
  6. Step 6: Final answer
    x = 100,021.01

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Why These Related Problems?

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