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Finding the Fourth Proportional to 218,443.77, 301,297.11 and 145,810.04

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Solution

The fourth proportional to 218,443.77, 301,297.11 and 145,810.04 is: 201,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,443.77 : 301,297.11 = 145,810.04 : x
  2. Step 2: Convert to fraction form
    218,443.77/301,297.11 = 145,810.04/x
  3. Step 3: Cross multiply
    218,443.77x = 301,297.11 × 145,810.04
  4. Step 4: Simplify right side
    218,443.77x = 43,932,141,607.71
  5. Step 5: Solve for x
    x = 43,932,141,607.71/218,443.77
  6. Step 6: Final answer
    x = 201,114.19

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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.