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Finding the Fourth Proportional to 210,432.15, 315,786.33 and 77,313.51

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Solution

The fourth proportional to 210,432.15, 315,786.33 and 77,313.51 is: 116,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,432.15 : 315,786.33 = 77,313.51 : x
  2. Step 2: Convert to fraction form
    210,432.15/315,786.33 = 77,313.51/x
  3. Step 3: Cross multiply
    210,432.15x = 315,786.33 × 77,313.51
  4. Step 4: Simplify right side
    210,432.15x = 24,414,549,582.32
  5. Step 5: Solve for x
    x = 24,414,549,582.32/210,432.15
  6. Step 6: Final answer
    x = 116,021.01

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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.