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Finding the Fourth Proportional to 86,416.84, 129,605.79 and 31,012.84

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Solution

The fourth proportional to 86,416.84, 129,605.79 and 31,012.84 is: 46,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416.84 : 129,605.79 = 31,012.84 : x
  2. Step 2: Convert to fraction form
    86,416.84/129,605.79 = 31,012.84/x
  3. Step 3: Cross multiply
    86,416.84x = 129,605.79 × 31,012.84
  4. Step 4: Simplify right side
    86,416.84x = 4,019,443,628.34
  5. Step 5: Solve for x
    x = 4,019,443,628.34/86,416.84
  6. Step 6: Final answer
    x = 46,512.27

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1.5x scale

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.