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Finding the Fourth Proportional to 201,489.81, 278,047.16 and 110,840.02

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Solution

The fourth proportional to 201,489.81, 278,047.16 and 110,840.02 is: 152,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,489.81 : 278,047.16 = 110,840.02 : x
  2. Step 2: Convert to fraction form
    201,489.81/278,047.16 = 110,840.02/x
  3. Step 3: Cross multiply
    201,489.81x = 278,047.16 × 110,840.02
  4. Step 4: Simplify right side
    201,489.81x = 30,818,752,775.34
  5. Step 5: Solve for x
    x = 30,818,752,775.34/201,489.81
  6. Step 6: Final answer
    x = 152,954.40

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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.