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Finding the Fourth Proportional to 201,762.27, 278,465.22 and 153,925.29

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Solution

The fourth proportional to 201,762.27, 278,465.22 and 153,925.29 is: 212,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.27 : 278,465.22 = 153,925.29 : x
  2. Step 2: Convert to fraction form
    201,762.27/278,465.22 = 153,925.29/x
  3. Step 3: Cross multiply
    201,762.27x = 278,465.22 × 153,925.29
  4. Step 4: Simplify right side
    201,762.27x = 42,862,839,743.41
  5. Step 5: Solve for x
    x = 42,862,839,743.41/201,762.27
  6. Step 6: Final answer
    x = 212,442.30

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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.