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Finding the Fourth Proportional to 162,415.80, 243,623.70 and 106,428.60

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Solution

The fourth proportional to 162,415.80, 243,623.70 and 106,428.60 is: 159,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,415.80 : 243,623.70 = 106,428.60 : x
  2. Step 2: Convert to fraction form
    162,415.80/243,623.70 = 106,428.60/x
  3. Step 3: Cross multiply
    162,415.80x = 243,623.70 × 106,428.60
  4. Step 4: Simplify right side
    162,415.80x = 25,928,529,317.82
  5. Step 5: Solve for x
    x = 25,928,529,317.82/162,415.80
  6. Step 6: Final answer
    x = 159,642.90

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1.5x scale

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.