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Finding the Fourth Proportional to 145,868, 201,297.92 and 78,800

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Solution

The fourth proportional to 145,868, 201,297.92 and 78,800 is: 108,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,868 : 201,297.92 = 78,800 : x
  2. Step 2: Convert to fraction form
    145,868/201,297.92 = 78,800/x
  3. Step 3: Cross multiply
    145,868x = 201,297.92 × 78,800
  4. Step 4: Simplify right side
    145,868x = 15,862,276,096.00
  5. Step 5: Solve for x
    x = 15,862,276,096.00/145,868
  6. Step 6: Final answer
    x = 108,744.04

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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.