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Finding the Fourth Proportional to 130,400, 179,955.84 and 70,787.84

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Solution

The fourth proportional to 130,400, 179,955.84 and 70,787.84 is: 97,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,400 : 179,955.84 = 70,787.84 : x
  2. Step 2: Convert to fraction form
    130,400/179,955.84 = 70,787.84/x
  3. Step 3: Cross multiply
    130,400x = 179,955.84 × 70,787.84
  4. Step 4: Simplify right side
    130,400x = 12,738,685,208.99
  5. Step 5: Solve for x
    x = 12,738,685,208.99/130,400
  6. Step 6: Final answer
    x = 97,689.30

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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.