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Finding the Fourth Proportional to 103,455.66, 142,785.45 and 96,702

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Solution

The fourth proportional to 103,455.66, 142,785.45 and 96,702 is: 133,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,455.66 : 142,785.45 = 96,702 : x
  2. Step 2: Convert to fraction form
    103,455.66/142,785.45 = 96,702/x
  3. Step 3: Cross multiply
    103,455.66x = 142,785.45 × 96,702
  4. Step 4: Simplify right side
    103,455.66x = 13,807,638,585.90
  5. Step 5: Solve for x
    x = 13,807,638,585.90/103,455.66
  6. Step 6: Final answer
    x = 133,464.31

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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.