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Finding the Fourth Proportional to 128,846.08, 193,315.16 and 78,347.85

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Solution

The fourth proportional to 128,846.08, 193,315.16 and 78,347.85 is: 117,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,846.08 : 193,315.16 = 78,347.85 : x
  2. Step 2: Convert to fraction form
    128,846.08/193,315.16 = 78,347.85/x
  3. Step 3: Cross multiply
    128,846.08x = 193,315.16 × 78,347.85
  4. Step 4: Simplify right side
    128,846.08x = 15,145,827,158.41
  5. Step 5: Solve for x
    x = 15,145,827,158.41/128,846.08
  6. Step 6: Final answer
    x = 117,549.77

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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.