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Finding the Fourth Proportional to 151,314, 208,813.32 and 84,261.84

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Solution

The fourth proportional to 151,314, 208,813.32 and 84,261.84 is: 116,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,314 : 208,813.32 = 84,261.84 : x
  2. Step 2: Convert to fraction form
    151,314/208,813.32 = 84,261.84/x
  3. Step 3: Cross multiply
    151,314x = 208,813.32 × 84,261.84
  4. Step 4: Simplify right side
    151,314x = 17,594,994,559.71
  5. Step 5: Solve for x
    x = 17,594,994,559.71/151,314
  6. Step 6: Final answer
    x = 116,281.34

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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.