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Finding the Fourth Proportional to 57,038.40, 78,710.40 and 31,545

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Solution

The fourth proportional to 57,038.40, 78,710.40 and 31,545 is: 43,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.40 : 78,710.40 = 31,545 : x
  2. Step 2: Convert to fraction form
    57,038.40/78,710.40 = 31,545/x
  3. Step 3: Cross multiply
    57,038.40x = 78,710.40 × 31,545
  4. Step 4: Simplify right side
    57,038.40x = 2,482,919,568
  5. Step 5: Solve for x
    x = 2,482,919,568/57,038.40
  6. Step 6: Final answer
    x = 43,530.67

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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.