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Finding the Fourth Proportional to 70,130, 96,781.56 and 40,322

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Solution

The fourth proportional to 70,130, 96,781.56 and 40,322 is: 55,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,130 : 96,781.56 = 40,322 : x
  2. Step 2: Convert to fraction form
    70,130/96,781.56 = 40,322/x
  3. Step 3: Cross multiply
    70,130x = 96,781.56 × 40,322
  4. Step 4: Simplify right side
    70,130x = 3,902,426,062.32
  5. Step 5: Solve for x
    x = 3,902,426,062.32/70,130
  6. Step 6: Final answer
    x = 55,645.60

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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.