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Finding the Fourth Proportional to 45,312.86, 67,870.74 and 21,890

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Solution

The fourth proportional to 45,312.86, 67,870.74 and 21,890 is: 32,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.86 : 67,870.74 = 21,890 : x
  2. Step 2: Convert to fraction form
    45,312.86/67,870.74 = 21,890/x
  3. Step 3: Cross multiply
    45,312.86x = 67,870.74 × 21,890
  4. Step 4: Simplify right side
    45,312.86x = 1,485,690,498.60
  5. Step 5: Solve for x
    x = 1,485,690,498.60/45,312.86
  6. Step 6: Final answer
    x = 32,787.39

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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.