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Finding the Fourth Proportional to 208,242.51, 312,419.06 and 108,373.16

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Solution

The fourth proportional to 208,242.51, 312,419.06 and 108,373.16 is: 162,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,242.51 : 312,419.06 = 108,373.16 : x
  2. Step 2: Convert to fraction form
    208,242.51/312,419.06 = 108,373.16/x
  3. Step 3: Cross multiply
    208,242.51x = 312,419.06 × 108,373.16
  4. Step 4: Simplify right side
    208,242.51x = 33,857,838,672.47
  5. Step 5: Solve for x
    x = 33,857,838,672.47/208,242.51
  6. Step 6: Final answer
    x = 162,588.51

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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.