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Finding the Fourth Proportional to 381,904.31, 572,963.71 and 112,038.81

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Solution

The fourth proportional to 381,904.31, 572,963.71 and 112,038.81 is: 168,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,904.31 : 572,963.71 = 112,038.81 : x
  2. Step 2: Convert to fraction form
    381,904.31/572,963.71 = 112,038.81/x
  3. Step 3: Cross multiply
    381,904.31x = 572,963.71 × 112,038.81
  4. Step 4: Simplify right side
    381,904.31x = 64,194,171,681.39
  5. Step 5: Solve for x
    x = 64,194,171,681.39/381,904.31
  6. Step 6: Final answer
    x = 168,089.68

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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.