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Finding the Fourth Proportional to 218,110, 300,875.16 and 146,366.68

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Solution

The fourth proportional to 218,110, 300,875.16 and 146,366.68 is: 201,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,110 : 300,875.16 = 146,366.68 : x
  2. Step 2: Convert to fraction form
    218,110/300,875.16 = 146,366.68/x
  3. Step 3: Cross multiply
    218,110x = 300,875.16 × 146,366.68
  4. Step 4: Simplify right side
    218,110x = 44,038,098,263.67
  5. Step 5: Solve for x
    x = 44,038,098,263.67/218,110
  6. Step 6: Final answer
    x = 201,907.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.