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Finding the Fourth Proportional to 210,825, 316,259.68 and 68,681.40

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Solution

The fourth proportional to 210,825, 316,259.68 and 68,681.40 is: 103,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,825 : 316,259.68 = 68,681.40 : x
  2. Step 2: Convert to fraction form
    210,825/316,259.68 = 68,681.40/x
  3. Step 3: Cross multiply
    210,825x = 316,259.68 × 68,681.40
  4. Step 4: Simplify right side
    210,825x = 21,721,157,585.95
  5. Step 5: Solve for x
    x = 21,721,157,585.95/210,825
  6. Step 6: Final answer
    x = 103,029.33

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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.