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Finding the Fourth Proportional to 76,803.42, 114,931.41 and 53,115.78

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Solution

The fourth proportional to 76,803.42, 114,931.41 and 53,115.78 is: 79,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803.42 : 114,931.41 = 53,115.78 : x
  2. Step 2: Convert to fraction form
    76,803.42/114,931.41 = 53,115.78/x
  3. Step 3: Cross multiply
    76,803.42x = 114,931.41 × 53,115.78
  4. Step 4: Simplify right side
    76,803.42x = 6,104,671,488.65
  5. Step 5: Solve for x
    x = 6,104,671,488.65/76,803.42
  6. Step 6: Final answer
    x = 79,484.37

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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.