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Finding the Fourth Proportional to 84,561.48, 116,695.70 and 51,021

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Solution

The fourth proportional to 84,561.48, 116,695.70 and 51,021 is: 70,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,561.48 : 116,695.70 = 51,021 : x
  2. Step 2: Convert to fraction form
    84,561.48/116,695.70 = 51,021/x
  3. Step 3: Cross multiply
    84,561.48x = 116,695.70 × 51,021
  4. Step 4: Simplify right side
    84,561.48x = 5,953,931,309.70
  5. Step 5: Solve for x
    x = 5,953,931,309.70/84,561.48
  6. Step 6: Final answer
    x = 70,409.50

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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.