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Finding the Fourth Proportional to 130,302.84, 195,483 and 74,169.36

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Solution

The fourth proportional to 130,302.84, 195,483 and 74,169.36 is: 111,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,302.84 : 195,483 = 74,169.36 : x
  2. Step 2: Convert to fraction form
    130,302.84/195,483 = 74,169.36/x
  3. Step 3: Cross multiply
    130,302.84x = 195,483 × 74,169.36
  4. Step 4: Simplify right side
    130,302.84x = 14,498,849,000.88
  5. Step 5: Solve for x
    x = 14,498,849,000.88/130,302.84
  6. Step 6: Final answer
    x = 111,270.40

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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.