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Finding the Fourth Proportional to 103,513.36, 142,746.96 and 65,722

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Solution

The fourth proportional to 103,513.36, 142,746.96 and 65,722 is: 90,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,513.36 : 142,746.96 = 65,722 : x
  2. Step 2: Convert to fraction form
    103,513.36/142,746.96 = 65,722/x
  3. Step 3: Cross multiply
    103,513.36x = 142,746.96 × 65,722
  4. Step 4: Simplify right side
    103,513.36x = 9,381,615,705.12
  5. Step 5: Solve for x
    x = 9,381,615,705.12/103,513.36
  6. Step 6: Final answer
    x = 90,631.93

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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.