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Finding the Fourth Proportional to 151,716, 209,368.08 and 84,648

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Solution

The fourth proportional to 151,716, 209,368.08 and 84,648 is: 116,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,716 : 209,368.08 = 84,648 : x
  2. Step 2: Convert to fraction form
    151,716/209,368.08 = 84,648/x
  3. Step 3: Cross multiply
    151,716x = 209,368.08 × 84,648
  4. Step 4: Simplify right side
    151,716x = 17,722,589,235.84
  5. Step 5: Solve for x
    x = 17,722,589,235.84/151,716
  6. Step 6: Final answer
    x = 116,814.24

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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.