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Finding the Fourth Proportional to 162,122.80, 243,038.40 and 105,989.80

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Solution

The fourth proportional to 162,122.80, 243,038.40 and 105,989.80 is: 158,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,122.80 : 243,038.40 = 105,989.80 : x
  2. Step 2: Convert to fraction form
    162,122.80/243,038.40 = 105,989.80/x
  3. Step 3: Cross multiply
    162,122.80x = 243,038.40 × 105,989.80
  4. Step 4: Simplify right side
    162,122.80x = 25,759,591,408.32
  5. Step 5: Solve for x
    x = 25,759,591,408.32/162,122.80
  6. Step 6: Final answer
    x = 158,889.38

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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.