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Finding the Fourth Proportional to 76,710.85, 105,893.73 and 51,574.93

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Solution

The fourth proportional to 76,710.85, 105,893.73 and 51,574.93 is: 71,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.85 : 105,893.73 = 51,574.93 : x
  2. Step 2: Convert to fraction form
    76,710.85/105,893.73 = 51,574.93/x
  3. Step 3: Cross multiply
    76,710.85x = 105,893.73 × 51,574.93
  4. Step 4: Simplify right side
    76,710.85x = 5,461,461,447.45
  5. Step 5: Solve for x
    x = 5,461,461,447.45/76,710.85
  6. Step 6: Final answer
    x = 71,195.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.