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Finding the Fourth Proportional to 139,913.12, 193,130.28 and 83,323.28

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Solution

The fourth proportional to 139,913.12, 193,130.28 and 83,323.28 is: 115,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,913.12 : 193,130.28 = 83,323.28 : x
  2. Step 2: Convert to fraction form
    139,913.12/193,130.28 = 83,323.28/x
  3. Step 3: Cross multiply
    139,913.12x = 193,130.28 × 83,323.28
  4. Step 4: Simplify right side
    139,913.12x = 16,092,248,396.92
  5. Step 5: Solve for x
    x = 16,092,248,396.92/139,913.12
  6. Step 6: Final answer
    x = 115,016.01

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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.