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Finding the Fourth Proportional to 384,085.56, 576,138.87 and 103,602

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Solution

The fourth proportional to 384,085.56, 576,138.87 and 103,602 is: 155,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,085.56 : 576,138.87 = 103,602 : x
  2. Step 2: Convert to fraction form
    384,085.56/576,138.87 = 103,602/x
  3. Step 3: Cross multiply
    384,085.56x = 576,138.87 × 103,602
  4. Step 4: Simplify right side
    384,085.56x = 59,689,139,209.74
  5. Step 5: Solve for x
    x = 59,689,139,209.74/384,085.56
  6. Step 6: Final answer
    x = 155,405.84

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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.