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Finding the Fourth Proportional to 86,930.40, 130,411.80 and 27,782.85

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Solution

The fourth proportional to 86,930.40, 130,411.80 and 27,782.85 is: 41,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,930.40 : 130,411.80 = 27,782.85 : x
  2. Step 2: Convert to fraction form
    86,930.40/130,411.80 = 27,782.85/x
  3. Step 3: Cross multiply
    86,930.40x = 130,411.80 × 27,782.85
  4. Step 4: Simplify right side
    86,930.40x = 3,623,211,477.63
  5. Step 5: Solve for x
    x = 3,623,211,477.63/86,930.40
  6. Step 6: Final answer
    x = 41,679.45

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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.