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Finding the Fourth Proportional to 56,894.47, 78,470 and 36,478.48

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Solution

The fourth proportional to 56,894.47, 78,470 and 36,478.48 is: 50,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,894.47 : 78,470 = 36,478.48 : x
  2. Step 2: Convert to fraction form
    56,894.47/78,470 = 36,478.48/x
  3. Step 3: Cross multiply
    56,894.47x = 78,470 × 36,478.48
  4. Step 4: Simplify right side
    56,894.47x = 2,862,466,325.60
  5. Step 5: Solve for x
    x = 2,862,466,325.60/56,894.47
  6. Step 6: Final answer
    x = 50,311.86

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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.