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Finding the Fourth Proportional to 210,539.30, 315,655.35 and 85,816.10

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Solution

The fourth proportional to 210,539.30, 315,655.35 and 85,816.10 is: 128,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,539.30 : 315,655.35 = 85,816.10 : x
  2. Step 2: Convert to fraction form
    210,539.30/315,655.35 = 85,816.10/x
  3. Step 3: Cross multiply
    210,539.30x = 315,655.35 × 85,816.10
  4. Step 4: Simplify right side
    210,539.30x = 27,088,311,081.14
  5. Step 5: Solve for x
    x = 27,088,311,081.14/210,539.30
  6. Step 6: Final answer
    x = 128,661.54

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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.