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Finding the Fourth Proportional to 70,516, 105,674.55 and 38,940.28

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Solution

The fourth proportional to 70,516, 105,674.55 and 38,940.28 is: 58,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516 : 105,674.55 = 38,940.28 : x
  2. Step 2: Convert to fraction form
    70,516/105,674.55 = 38,940.28/x
  3. Step 3: Cross multiply
    70,516x = 105,674.55 × 38,940.28
  4. Step 4: Simplify right side
    70,516x = 4,114,996,565.87
  5. Step 5: Solve for x
    x = 4,114,996,565.87/70,516
  6. Step 6: Final answer
    x = 58,355.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.