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Finding the Fourth Proportional to 210,681, 316,021.50 and 70,443.27

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Solution

The fourth proportional to 210,681, 316,021.50 and 70,443.27 is: 105,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,681 : 316,021.50 = 70,443.27 : x
  2. Step 2: Convert to fraction form
    210,681/316,021.50 = 70,443.27/x
  3. Step 3: Cross multiply
    210,681x = 316,021.50 × 70,443.27
  4. Step 4: Simplify right side
    210,681x = 22,261,587,850.31
  5. Step 5: Solve for x
    x = 22,261,587,850.31/210,681
  6. Step 6: Final answer
    x = 105,664.91

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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.