Home / 51,854.34-77,847.16-31,814.59

Finding the Fourth Proportional to 51,854.34, 77,847.16 and 31,814.59

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Solution

The fourth proportional to 51,854.34, 77,847.16 and 31,814.59 is: 47,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.34 : 77,847.16 = 31,814.59 : x
  2. Step 2: Convert to fraction form
    51,854.34/77,847.16 = 31,814.59/x
  3. Step 3: Cross multiply
    51,854.34x = 77,847.16 × 31,814.59
  4. Step 4: Simplify right side
    51,854.34x = 2,476,675,409.53
  5. Step 5: Solve for x
    x = 2,476,675,409.53/51,854.34
  6. Step 6: Final answer
    x = 47,762.16

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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.