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Finding the Fourth Proportional to 142,969.77, 197,321.93 and 79,328.07

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Solution

The fourth proportional to 142,969.77, 197,321.93 and 79,328.07 is: 109,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,969.77 : 197,321.93 = 79,328.07 : x
  2. Step 2: Convert to fraction form
    142,969.77/197,321.93 = 79,328.07/x
  3. Step 3: Cross multiply
    142,969.77x = 197,321.93 × 79,328.07
  4. Step 4: Simplify right side
    142,969.77x = 15,653,167,875.58
  5. Step 5: Solve for x
    x = 15,653,167,875.58/142,969.77
  6. Step 6: Final answer
    x = 109,485.86

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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.