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Finding the Fourth Proportional to 86,283.84, 129,438.88 and 27,114

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Solution

The fourth proportional to 86,283.84, 129,438.88 and 27,114 is: 40,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,283.84 : 129,438.88 = 27,114 : x
  2. Step 2: Convert to fraction form
    86,283.84/129,438.88 = 27,114/x
  3. Step 3: Cross multiply
    86,283.84x = 129,438.88 × 27,114
  4. Step 4: Simplify right side
    86,283.84x = 3,509,605,792.32
  5. Step 5: Solve for x
    x = 3,509,605,792.32/86,283.84
  6. Step 6: Final answer
    x = 40,675.12

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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.