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Finding the Fourth Proportional to 102,313.64, 153,266.34 and 81,289.28

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Solution

The fourth proportional to 102,313.64, 153,266.34 and 81,289.28 is: 121,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,313.64 : 153,266.34 = 81,289.28 : x
  2. Step 2: Convert to fraction form
    102,313.64/153,266.34 = 81,289.28/x
  3. Step 3: Cross multiply
    102,313.64x = 153,266.34 × 81,289.28
  4. Step 4: Simplify right side
    102,313.64x = 12,458,910,426.84
  5. Step 5: Solve for x
    x = 12,458,910,426.84/102,313.64
  6. Step 6: Final answer
    x = 121,771.74

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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.