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Finding the Fourth Proportional to 210,687.12, 315,964.80 and 70,412.94

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Solution

The fourth proportional to 210,687.12, 315,964.80 and 70,412.94 is: 105,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,687.12 : 315,964.80 = 70,412.94 : x
  2. Step 2: Convert to fraction form
    210,687.12/315,964.80 = 70,412.94/x
  3. Step 3: Cross multiply
    210,687.12x = 315,964.80 × 70,412.94
  4. Step 4: Simplify right side
    210,687.12x = 22,248,010,504.51
  5. Step 5: Solve for x
    x = 22,248,010,504.51/210,687.12
  6. Step 6: Final answer
    x = 105,597.39

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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.