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Finding the Fourth Proportional to 210,816.54, 315,718.08 and 120,585.71

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Solution

The fourth proportional to 210,816.54, 315,718.08 and 120,585.71 is: 180,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816.54 : 315,718.08 = 120,585.71 : x
  2. Step 2: Convert to fraction form
    210,816.54/315,718.08 = 120,585.71/x
  3. Step 3: Cross multiply
    210,816.54x = 315,718.08 × 120,585.71
  4. Step 4: Simplify right side
    210,816.54x = 38,071,087,258.05
  5. Step 5: Solve for x
    x = 38,071,087,258.05/210,816.54
  6. Step 6: Final answer
    x = 180,588.71

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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.