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Finding the Fourth Proportional to 169,871.04, 254,806.56 and 51,543

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Solution

The fourth proportional to 169,871.04, 254,806.56 and 51,543 is: 77,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,871.04 : 254,806.56 = 51,543 : x
  2. Step 2: Convert to fraction form
    169,871.04/254,806.56 = 51,543/x
  3. Step 3: Cross multiply
    169,871.04x = 254,806.56 × 51,543
  4. Step 4: Simplify right side
    169,871.04x = 13,133,494,522.08
  5. Step 5: Solve for x
    x = 13,133,494,522.08/169,871.04
  6. Step 6: Final answer
    x = 77,314.50

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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.