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Finding the Fourth Proportional to 145,924, 201,375.12 and 78,856

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Solution

The fourth proportional to 145,924, 201,375.12 and 78,856 is: 108,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,924 : 201,375.12 = 78,856 : x
  2. Step 2: Convert to fraction form
    145,924/201,375.12 = 78,856/x
  3. Step 3: Cross multiply
    145,924x = 201,375.12 × 78,856
  4. Step 4: Simplify right side
    145,924x = 15,879,636,462.72
  5. Step 5: Solve for x
    x = 15,879,636,462.72/145,924
  6. Step 6: Final answer
    x = 108,821.28

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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.