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Finding the Fourth Proportional to 381,407.64, 572,139.54 and 100,923

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Solution

The fourth proportional to 381,407.64, 572,139.54 and 100,923 is: 151,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,407.64 : 572,139.54 = 100,923 : x
  2. Step 2: Convert to fraction form
    381,407.64/572,139.54 = 100,923/x
  3. Step 3: Cross multiply
    381,407.64x = 572,139.54 × 100,923
  4. Step 4: Simplify right side
    381,407.64x = 57,742,038,795.42
  5. Step 5: Solve for x
    x = 57,742,038,795.42/381,407.64
  6. Step 6: Final answer
    x = 151,391.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.