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Finding the Fourth Proportional to 201,851.68, 278,567.76 and 112,427.68

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Solution

The fourth proportional to 201,851.68, 278,567.76 and 112,427.68 is: 155,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,851.68 : 278,567.76 = 112,427.68 : x
  2. Step 2: Convert to fraction form
    201,851.68/278,567.76 = 112,427.68/x
  3. Step 3: Cross multiply
    201,851.68x = 278,567.76 × 112,427.68
  4. Step 4: Simplify right side
    201,851.68x = 31,318,726,979.60
  5. Step 5: Solve for x
    x = 31,318,726,979.60/201,851.68
  6. Step 6: Final answer
    x = 155,157.13

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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.