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Finding the Fourth Proportional to 210,607.80, 315,734 and 98,228.82

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Solution

The fourth proportional to 210,607.80, 315,734 and 98,228.82 is: 147,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,607.80 : 315,734 = 98,228.82 : x
  2. Step 2: Convert to fraction form
    210,607.80/315,734 = 98,228.82/x
  3. Step 3: Cross multiply
    210,607.80x = 315,734 × 98,228.82
  4. Step 4: Simplify right side
    210,607.80x = 31,014,178,253.88
  5. Step 5: Solve for x
    x = 31,014,178,253.88/210,607.80
  6. Step 6: Final answer
    x = 147,260.35

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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.