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Finding the Fourth Proportional to 210,471.56, 315,673.26 and 77,319.08

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Solution

The fourth proportional to 210,471.56, 315,673.26 and 77,319.08 is: 115,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.56 : 315,673.26 = 77,319.08 : x
  2. Step 2: Convert to fraction form
    210,471.56/315,673.26 = 77,319.08/x
  3. Step 3: Cross multiply
    210,471.56x = 315,673.26 × 77,319.08
  4. Step 4: Simplify right side
    210,471.56x = 24,407,566,043.80
  5. Step 5: Solve for x
    x = 24,407,566,043.80/210,471.56
  6. Step 6: Final answer
    x = 115,966.10

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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.