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Finding the Fourth Proportional to 81,970.40, 122,955.60 and 77,045.60

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Solution

The fourth proportional to 81,970.40, 122,955.60 and 77,045.60 is: 115,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.40 : 122,955.60 = 77,045.60 : x
  2. Step 2: Convert to fraction form
    81,970.40/122,955.60 = 77,045.60/x
  3. Step 3: Cross multiply
    81,970.40x = 122,955.60 × 77,045.60
  4. Step 4: Simplify right side
    81,970.40x = 9,473,187,975.36
  5. Step 5: Solve for x
    x = 9,473,187,975.36/81,970.40
  6. Step 6: Final answer
    x = 115,568.40

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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.