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Finding the Fourth Proportional to 210,607.56, 315,733.60 and 98,228.56

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Solution

The fourth proportional to 210,607.56, 315,733.60 and 98,228.56 is: 147,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,607.56 : 315,733.60 = 98,228.56 : x
  2. Step 2: Convert to fraction form
    210,607.56/315,733.60 = 98,228.56/x
  3. Step 3: Cross multiply
    210,607.56x = 315,733.60 × 98,228.56
  4. Step 4: Simplify right side
    210,607.56x = 31,014,056,871.62
  5. Step 5: Solve for x
    x = 31,014,056,871.62/210,607.56
  6. Step 6: Final answer
    x = 147,259.94

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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.