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Finding the Fourth Proportional to 77,038.40, 115,568.40 and 30,280.40

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Solution

The fourth proportional to 77,038.40, 115,568.40 and 30,280.40 is: 45,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,038.40 : 115,568.40 = 30,280.40 : x
  2. Step 2: Convert to fraction form
    77,038.40/115,568.40 = 30,280.40/x
  3. Step 3: Cross multiply
    77,038.40x = 115,568.40 × 30,280.40
  4. Step 4: Simplify right side
    77,038.40x = 3,499,457,379.36
  5. Step 5: Solve for x
    x = 3,499,457,379.36/77,038.40
  6. Step 6: Final answer
    x = 45,424.85

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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.