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Finding the Fourth Proportional to 256,057.04, 384,092.58 and 69,068

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Solution

The fourth proportional to 256,057.04, 384,092.58 and 69,068 is: 103,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,057.04 : 384,092.58 = 69,068 : x
  2. Step 2: Convert to fraction form
    256,057.04/384,092.58 = 69,068/x
  3. Step 3: Cross multiply
    256,057.04x = 384,092.58 × 69,068
  4. Step 4: Simplify right side
    256,057.04x = 26,528,506,315.44
  5. Step 5: Solve for x
    x = 26,528,506,315.44/256,057.04
  6. Step 6: Final answer
    x = 103,603.89

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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.