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Finding the Fourth Proportional to 210,734, 316,035.38 and 70,459.82

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Solution

The fourth proportional to 210,734, 316,035.38 and 70,459.82 is: 105,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,734 : 316,035.38 = 70,459.82 : x
  2. Step 2: Convert to fraction form
    210,734/316,035.38 = 70,459.82/x
  3. Step 3: Cross multiply
    210,734x = 316,035.38 × 70,459.82
  4. Step 4: Simplify right side
    210,734x = 22,267,795,988.43
  5. Step 5: Solve for x
    x = 22,267,795,988.43/210,734
  6. Step 6: Final answer
    x = 105,667.79

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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.