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Finding the Fourth Proportional to 145,882, 201,317.28 and 78,814

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Solution

The fourth proportional to 145,882, 201,317.28 and 78,814 is: 108,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,882 : 201,317.28 = 78,814 : x
  2. Step 2: Convert to fraction form
    145,882/201,317.28 = 78,814/x
  3. Step 3: Cross multiply
    145,882x = 201,317.28 × 78,814
  4. Step 4: Simplify right side
    145,882x = 15,866,620,105.92
  5. Step 5: Solve for x
    x = 15,866,620,105.92/145,882
  6. Step 6: Final answer
    x = 108,763.38

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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.