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Finding the Fourth Proportional to 286,174.82, 429,265.20 and 86,496.86

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Solution

The fourth proportional to 286,174.82, 429,265.20 and 86,496.86 is: 129,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,174.82 : 429,265.20 = 86,496.86 : x
  2. Step 2: Convert to fraction form
    286,174.82/429,265.20 = 86,496.86/x
  3. Step 3: Cross multiply
    286,174.82x = 429,265.20 × 86,496.86
  4. Step 4: Simplify right side
    286,174.82x = 37,130,091,907.27
  5. Step 5: Solve for x
    x = 37,130,091,907.27/286,174.82
  6. Step 6: Final answer
    x = 129,746.19

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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.