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Finding the Fourth Proportional to 139,870.80, 193,022.64 and 76,208.40

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Solution

The fourth proportional to 139,870.80, 193,022.64 and 76,208.40 is: 105,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,870.80 : 193,022.64 = 76,208.40 : x
  2. Step 2: Convert to fraction form
    139,870.80/193,022.64 = 76,208.40/x
  3. Step 3: Cross multiply
    139,870.80x = 193,022.64 × 76,208.40
  4. Step 4: Simplify right side
    139,870.80x = 14,709,946,558.18
  5. Step 5: Solve for x
    x = 14,709,946,558.18/139,870.80
  6. Step 6: Final answer
    x = 105,168.10

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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.