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Finding the Fourth Proportional to 210,216.56, 315,316.02 and 97,858.16

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Solution

The fourth proportional to 210,216.56, 315,316.02 and 97,858.16 is: 146,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,216.56 : 315,316.02 = 97,858.16 : x
  2. Step 2: Convert to fraction form
    210,216.56/315,316.02 = 97,858.16/x
  3. Step 3: Cross multiply
    210,216.56x = 315,316.02 × 97,858.16
  4. Step 4: Simplify right side
    210,216.56x = 30,856,245,535.72
  5. Step 5: Solve for x
    x = 30,856,245,535.72/210,216.56
  6. Step 6: Final answer
    x = 146,783.13

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1.5x scale

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.