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Finding the Fourth Proportional to 57,038.31, 78,733.71 and 34,378.11

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Solution

The fourth proportional to 57,038.31, 78,733.71 and 34,378.11 is: 47,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.31 : 78,733.71 = 34,378.11 : x
  2. Step 2: Convert to fraction form
    57,038.31/78,733.71 = 34,378.11/x
  3. Step 3: Cross multiply
    57,038.31x = 78,733.71 × 34,378.11
  4. Step 4: Simplify right side
    57,038.31x = 2,706,716,143.09
  5. Step 5: Solve for x
    x = 2,706,716,143.09/57,038.31
  6. Step 6: Final answer
    x = 47,454.35

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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.