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Finding the Fourth Proportional to 138,240, 190,771.20 and 78,624

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Solution

The fourth proportional to 138,240, 190,771.20 and 78,624 is: 108,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,240 : 190,771.20 = 78,624 : x
  2. Step 2: Convert to fraction form
    138,240/190,771.20 = 78,624/x
  3. Step 3: Cross multiply
    138,240x = 190,771.20 × 78,624
  4. Step 4: Simplify right side
    138,240x = 14,999,194,828.80
  5. Step 5: Solve for x
    x = 14,999,194,828.80/138,240
  6. Step 6: Final answer
    x = 108,501.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.