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Finding the Fourth Proportional to 210,499.16, 315,873.27 and 77,472.86

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Solution

The fourth proportional to 210,499.16, 315,873.27 and 77,472.86 is: 116,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,499.16 : 315,873.27 = 77,472.86 : x
  2. Step 2: Convert to fraction form
    210,499.16/315,873.27 = 77,472.86/x
  3. Step 3: Cross multiply
    210,499.16x = 315,873.27 × 77,472.86
  4. Step 4: Simplify right side
    210,499.16x = 24,471,604,045.09
  5. Step 5: Solve for x
    x = 24,471,604,045.09/210,499.16
  6. Step 6: Final answer
    x = 116,255.12

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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.