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Finding the Fourth Proportional to 144,501.12, 216,602.88 and 82,039.68

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Solution

The fourth proportional to 144,501.12, 216,602.88 and 82,039.68 is: 122,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,501.12 : 216,602.88 = 82,039.68 : x
  2. Step 2: Convert to fraction form
    144,501.12/216,602.88 = 82,039.68/x
  3. Step 3: Cross multiply
    144,501.12x = 216,602.88 × 82,039.68
  4. Step 4: Simplify right side
    144,501.12x = 17,770,030,962.28
  5. Step 5: Solve for x
    x = 17,770,030,962.28/144,501.12
  6. Step 6: Final answer
    x = 122,975.04

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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.