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Finding the Fourth Proportional to 210,029.58, 315,043.74 and 52,258.02

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Solution

The fourth proportional to 210,029.58, 315,043.74 and 52,258.02 is: 78,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,029.58 : 315,043.74 = 52,258.02 : x
  2. Step 2: Convert to fraction form
    210,029.58/315,043.74 = 52,258.02/x
  3. Step 3: Cross multiply
    210,029.58x = 315,043.74 × 52,258.02
  4. Step 4: Simplify right side
    210,029.58x = 16,463,562,065.79
  5. Step 5: Solve for x
    x = 16,463,562,065.79/210,029.58
  6. Step 6: Final answer
    x = 78,386.87

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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.