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Finding the Fourth Proportional to 82,830.90, 124,112.70 and 74,957.70

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Solution

The fourth proportional to 82,830.90, 124,112.70 and 74,957.70 is: 112,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,830.90 : 124,112.70 = 74,957.70 : x
  2. Step 2: Convert to fraction form
    82,830.90/124,112.70 = 74,957.70/x
  3. Step 3: Cross multiply
    82,830.90x = 124,112.70 × 74,957.70
  4. Step 4: Simplify right side
    82,830.90x = 9,303,202,532.79
  5. Step 5: Solve for x
    x = 9,303,202,532.79/82,830.90
  6. Step 6: Final answer
    x = 112,315.60

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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.