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Finding the Fourth Proportional to 158,428.63, 218,549.73 and 107,424.10

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Solution

The fourth proportional to 158,428.63, 218,549.73 and 107,424.10 is: 148,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,428.63 : 218,549.73 = 107,424.10 : x
  2. Step 2: Convert to fraction form
    158,428.63/218,549.73 = 107,424.10/x
  3. Step 3: Cross multiply
    158,428.63x = 218,549.73 × 107,424.10
  4. Step 4: Simplify right side
    158,428.63x = 23,477,508,050.49
  5. Step 5: Solve for x
    x = 23,477,508,050.49/158,428.63
  6. Step 6: Final answer
    x = 148,189.81

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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.