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Finding the Fourth Proportional to 70,389.52, 105,591.15 and 20,470

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Solution

The fourth proportional to 70,389.52, 105,591.15 and 20,470 is: 30,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389.52 : 105,591.15 = 20,470 : x
  2. Step 2: Convert to fraction form
    70,389.52/105,591.15 = 20,470/x
  3. Step 3: Cross multiply
    70,389.52x = 105,591.15 × 20,470
  4. Step 4: Simplify right side
    70,389.52x = 2,161,450,840.50
  5. Step 5: Solve for x
    x = 2,161,450,840.50/70,389.52
  6. Step 6: Final answer
    x = 30,707.00

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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.