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Finding the Fourth Proportional to 218,521.84, 301,566 and 123,032.16

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Solution

The fourth proportional to 218,521.84, 301,566 and 123,032.16 is: 169,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,521.84 : 301,566 = 123,032.16 : x
  2. Step 2: Convert to fraction form
    218,521.84/301,566 = 123,032.16/x
  3. Step 3: Cross multiply
    218,521.84x = 301,566 × 123,032.16
  4. Step 4: Simplify right side
    218,521.84x = 37,102,316,362.56
  5. Step 5: Solve for x
    x = 37,102,316,362.56/218,521.84
  6. Step 6: Final answer
    x = 169,787.68

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1.5x scale

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.