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Finding the Fourth Proportional to 145,406.31, 218,109.14 and 45,574.11

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Solution

The fourth proportional to 145,406.31, 218,109.14 and 45,574.11 is: 68,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406.31 : 218,109.14 = 45,574.11 : x
  2. Step 2: Convert to fraction form
    145,406.31/218,109.14 = 45,574.11/x
  3. Step 3: Cross multiply
    145,406.31x = 218,109.14 × 45,574.11
  4. Step 4: Simplify right side
    145,406.31x = 9,940,129,710.49
  5. Step 5: Solve for x
    x = 9,940,129,710.49/145,406.31
  6. Step 6: Final answer
    x = 68,361.06

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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.