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Finding the Fourth Proportional to 70,287.06, 105,430.70 and 28,734.06

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Solution

The fourth proportional to 70,287.06, 105,430.70 and 28,734.06 is: 43,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.06 : 105,430.70 = 28,734.06 : x
  2. Step 2: Convert to fraction form
    70,287.06/105,430.70 = 28,734.06/x
  3. Step 3: Cross multiply
    70,287.06x = 105,430.70 × 28,734.06
  4. Step 4: Simplify right side
    70,287.06x = 3,029,452,059.64
  5. Step 5: Solve for x
    x = 3,029,452,059.64/70,287.06
  6. Step 6: Final answer
    x = 43,101.13

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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.