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Finding the Fourth Proportional to 70,389.87, 105,602.10 and 20,470.40

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Solution

The fourth proportional to 70,389.87, 105,602.10 and 20,470.40 is: 30,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389.87 : 105,602.10 = 20,470.40 : x
  2. Step 2: Convert to fraction form
    70,389.87/105,602.10 = 20,470.40/x
  3. Step 3: Cross multiply
    70,389.87x = 105,602.10 × 20,470.40
  4. Step 4: Simplify right side
    70,389.87x = 2,161,716,722.07
  5. Step 5: Solve for x
    x = 2,161,716,722.07/70,389.87
  6. Step 6: Final answer
    x = 30,710.62

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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.