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Finding the Fourth Proportional to 143,321.16, 197,751.06 and 86,731.32

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Solution

The fourth proportional to 143,321.16, 197,751.06 and 86,731.32 is: 119,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,321.16 : 197,751.06 = 86,731.32 : x
  2. Step 2: Convert to fraction form
    143,321.16/197,751.06 = 86,731.32/x
  3. Step 3: Cross multiply
    143,321.16x = 197,751.06 × 86,731.32
  4. Step 4: Simplify right side
    143,321.16x = 17,151,210,465.20
  5. Step 5: Solve for x
    x = 17,151,210,465.20/143,321.16
  6. Step 6: Final answer
    x = 119,669.77

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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.