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Finding the Fourth Proportional to 257,021.10, 385,531.56 and 70,032.60

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Solution

The fourth proportional to 257,021.10, 385,531.56 and 70,032.60 is: 105,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,021.10 : 385,531.56 = 70,032.60 : x
  2. Step 2: Convert to fraction form
    257,021.10/385,531.56 = 70,032.60/x
  3. Step 3: Cross multiply
    257,021.10x = 385,531.56 × 70,032.60
  4. Step 4: Simplify right side
    257,021.10x = 26,999,777,528.86
  5. Step 5: Solve for x
    x = 26,999,777,528.86/257,021.10
  6. Step 6: Final answer
    x = 105,048.88

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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.