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Finding the Fourth Proportional to 76,304.93, 114,412.43 and 31,312.87

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Solution

The fourth proportional to 76,304.93, 114,412.43 and 31,312.87 is: 46,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,304.93 : 114,412.43 = 31,312.87 : x
  2. Step 2: Convert to fraction form
    76,304.93/114,412.43 = 31,312.87/x
  3. Step 3: Cross multiply
    76,304.93x = 114,412.43 × 31,312.87
  4. Step 4: Simplify right side
    76,304.93x = 3,582,581,339.23
  5. Step 5: Solve for x
    x = 3,582,581,339.23/76,304.93
  6. Step 6: Final answer
    x = 46,950.85

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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.