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Finding the Fourth Proportional to 86,246.34, 118,971.34 and 51,782.26

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Solution

The fourth proportional to 86,246.34, 118,971.34 and 51,782.26 is: 71,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,246.34 : 118,971.34 = 51,782.26 : x
  2. Step 2: Convert to fraction form
    86,246.34/118,971.34 = 51,782.26/x
  3. Step 3: Cross multiply
    86,246.34x = 118,971.34 × 51,782.26
  4. Step 4: Simplify right side
    86,246.34x = 6,160,604,860.43
  5. Step 5: Solve for x
    x = 6,160,604,860.43/86,246.34
  6. Step 6: Final answer
    x = 71,430.33

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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.