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Finding the Fourth Proportional to 144,020.20, 216,030.30 and 84,971.20

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Solution

The fourth proportional to 144,020.20, 216,030.30 and 84,971.20 is: 127,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,020.20 : 216,030.30 = 84,971.20 : x
  2. Step 2: Convert to fraction form
    144,020.20/216,030.30 = 84,971.20/x
  3. Step 3: Cross multiply
    144,020.20x = 216,030.30 × 84,971.20
  4. Step 4: Simplify right side
    144,020.20x = 18,356,353,827.36
  5. Step 5: Solve for x
    x = 18,356,353,827.36/144,020.20
  6. Step 6: Final answer
    x = 127,456.80

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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.