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Finding the Fourth Proportional to 51,980.40, 77,921.46 and 47,358

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Solution

The fourth proportional to 51,980.40, 77,921.46 and 47,358 is: 70,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.40 : 77,921.46 = 47,358 : x
  2. Step 2: Convert to fraction form
    51,980.40/77,921.46 = 47,358/x
  3. Step 3: Cross multiply
    51,980.40x = 77,921.46 × 47,358
  4. Step 4: Simplify right side
    51,980.40x = 3,690,204,502.68
  5. Step 5: Solve for x
    x = 3,690,204,502.68/51,980.40
  6. Step 6: Final answer
    x = 70,992.23

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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.