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Finding the Fourth Proportional to 139,813.76, 192,942 and 76,151.36

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Solution

The fourth proportional to 139,813.76, 192,942 and 76,151.36 is: 105,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,813.76 : 192,942 = 76,151.36 : x
  2. Step 2: Convert to fraction form
    139,813.76/192,942 = 76,151.36/x
  3. Step 3: Cross multiply
    139,813.76x = 192,942 × 76,151.36
  4. Step 4: Simplify right side
    139,813.76x = 14,692,795,701.12
  5. Step 5: Solve for x
    x = 14,692,795,701.12/139,813.76
  6. Step 6: Final answer
    x = 105,088.34

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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.