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Finding the Fourth Proportional to 142,992.94, 197,335.53 and 86,393.38

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Solution

The fourth proportional to 142,992.94, 197,335.53 and 86,393.38 is: 119,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,992.94 : 197,335.53 = 86,393.38 : x
  2. Step 2: Convert to fraction form
    142,992.94/197,335.53 = 86,393.38/x
  3. Step 3: Cross multiply
    142,992.94x = 197,335.53 × 86,393.38
  4. Step 4: Simplify right side
    142,992.94x = 17,048,483,430.79
  5. Step 5: Solve for x
    x = 17,048,483,430.79/142,992.94
  6. Step 6: Final answer
    x = 119,226.05

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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.