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Finding the Fourth Proportional to 210,147.89, 315,218.88 and 97,765.25

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Solution

The fourth proportional to 210,147.89, 315,218.88 and 97,765.25 is: 146,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,147.89 : 315,218.88 = 97,765.25 : x
  2. Step 2: Convert to fraction form
    210,147.89/315,218.88 = 97,765.25/x
  3. Step 3: Cross multiply
    210,147.89x = 315,218.88 × 97,765.25
  4. Step 4: Simplify right side
    210,147.89x = 30,817,451,031.83
  5. Step 5: Solve for x
    x = 30,817,451,031.83/210,147.89
  6. Step 6: Final answer
    x = 146,646.50

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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.