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Finding the Fourth Proportional to 70,434.16, 105,654.48 and 28,852

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Solution

The fourth proportional to 70,434.16, 105,654.48 and 28,852 is: 43,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.16 : 105,654.48 = 28,852 : x
  2. Step 2: Convert to fraction form
    70,434.16/105,654.48 = 28,852/x
  3. Step 3: Cross multiply
    70,434.16x = 105,654.48 × 28,852
  4. Step 4: Simplify right side
    70,434.16x = 3,048,343,056.96
  5. Step 5: Solve for x
    x = 3,048,343,056.96/70,434.16
  6. Step 6: Final answer
    x = 43,279.33

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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.