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Finding the Fourth Proportional to 70,295.80, 105,444.10 and 28,742.80

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Solution

The fourth proportional to 70,295.80, 105,444.10 and 28,742.80 is: 43,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295.80 : 105,444.10 = 28,742.80 : x
  2. Step 2: Convert to fraction form
    70,295.80/105,444.10 = 28,742.80/x
  3. Step 3: Cross multiply
    70,295.80x = 105,444.10 × 28,742.80
  4. Step 4: Simplify right side
    70,295.80x = 3,030,758,677.48
  5. Step 5: Solve for x
    x = 3,030,758,677.48/70,295.80
  6. Step 6: Final answer
    x = 43,114.36

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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.