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Finding the Fourth Proportional to 145,966, 218,949 and 35,158

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Solution

The fourth proportional to 145,966, 218,949 and 35,158 is: 52,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,966 : 218,949 = 35,158 : x
  2. Step 2: Convert to fraction form
    145,966/218,949 = 35,158/x
  3. Step 3: Cross multiply
    145,966x = 218,949 × 35,158
  4. Step 4: Simplify right side
    145,966x = 7,697,808,942
  5. Step 5: Solve for x
    x = 7,697,808,942/145,966
  6. Step 6: Final answer
    x = 52,737

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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.