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Finding the Fourth Proportional to 30,136, 45,205.08 and 9,358.96

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Solution

The fourth proportional to 30,136, 45,205.08 and 9,358.96 is: 14,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136 : 45,205.08 = 9,358.96 : x
  2. Step 2: Convert to fraction form
    30,136/45,205.08 = 9,358.96/x
  3. Step 3: Cross multiply
    30,136x = 45,205.08 × 9,358.96
  4. Step 4: Simplify right side
    30,136x = 423,072,535.52
  5. Step 5: Solve for x
    x = 423,072,535.52/30,136
  6. Step 6: Final answer
    x = 14,038.78

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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.