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Finding the Fourth Proportional to 169,406.94, 254,017.59 and 78,123.25

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Solution

The fourth proportional to 169,406.94, 254,017.59 and 78,123.25 is: 117,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,406.94 : 254,017.59 = 78,123.25 : x
  2. Step 2: Convert to fraction form
    169,406.94/254,017.59 = 78,123.25/x
  3. Step 3: Cross multiply
    169,406.94x = 254,017.59 × 78,123.25
  4. Step 4: Simplify right side
    169,406.94x = 19,844,679,712.53
  5. Step 5: Solve for x
    x = 19,844,679,712.53/169,406.94
  6. Step 6: Final answer
    x = 117,142.07

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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.