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Finding the Fourth Proportional to 151,352.64, 208,868.09 and 83,369.90

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Solution

The fourth proportional to 151,352.64, 208,868.09 and 83,369.90 is: 115,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,352.64 : 208,868.09 = 83,369.90 : x
  2. Step 2: Convert to fraction form
    151,352.64/208,868.09 = 83,369.90/x
  3. Step 3: Cross multiply
    151,352.64x = 208,868.09 × 83,369.90
  4. Step 4: Simplify right side
    151,352.64x = 17,413,311,881.81
  5. Step 5: Solve for x
    x = 17,413,311,881.81/151,352.64
  6. Step 6: Final answer
    x = 115,051.26

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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.