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Finding the Fourth Proportional to 159,403.30, 220,036.20 and 105,706.30

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Solution

The fourth proportional to 159,403.30, 220,036.20 and 105,706.30 is: 145,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,403.30 : 220,036.20 = 105,706.30 : x
  2. Step 2: Convert to fraction form
    159,403.30/220,036.20 = 105,706.30/x
  3. Step 3: Cross multiply
    159,403.30x = 220,036.20 × 105,706.30
  4. Step 4: Simplify right side
    159,403.30x = 23,259,212,568.06
  5. Step 5: Solve for x
    x = 23,259,212,568.06/159,403.30
  6. Step 6: Final answer
    x = 145,914.25

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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.