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Finding the Fourth Proportional to 113,643.86, 156,736.44 and 100,002.47

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Solution

The fourth proportional to 113,643.86, 156,736.44 and 100,002.47 is: 137,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,643.86 : 156,736.44 = 100,002.47 : x
  2. Step 2: Convert to fraction form
    113,643.86/156,736.44 = 100,002.47/x
  3. Step 3: Cross multiply
    113,643.86x = 156,736.44 × 100,002.47
  4. Step 4: Simplify right side
    113,643.86x = 15,674,030,355.32
  5. Step 5: Solve for x
    x = 15,674,030,355.32/113,643.86
  6. Step 6: Final answer
    x = 137,922.37

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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.