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Finding the Fourth Proportional to 77,470.01, 116,205.53 and 21,316.05

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Solution

The fourth proportional to 77,470.01, 116,205.53 and 21,316.05 is: 31,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,470.01 : 116,205.53 = 21,316.05 : x
  2. Step 2: Convert to fraction form
    77,470.01/116,205.53 = 21,316.05/x
  3. Step 3: Cross multiply
    77,470.01x = 116,205.53 × 21,316.05
  4. Step 4: Simplify right side
    77,470.01x = 2,477,042,781.18
  5. Step 5: Solve for x
    x = 2,477,042,781.18/77,470.01
  6. Step 6: Final answer
    x = 31,974.22

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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.