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Finding the Fourth Proportional to 145,919.02, 201,367.74 and 78,851.02

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Solution

The fourth proportional to 145,919.02, 201,367.74 and 78,851.02 is: 108,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,919.02 : 201,367.74 = 78,851.02 : x
  2. Step 2: Convert to fraction form
    145,919.02/201,367.74 = 78,851.02/x
  3. Step 3: Cross multiply
    145,919.02x = 201,367.74 × 78,851.02
  4. Step 4: Simplify right side
    145,919.02x = 15,878,051,694.09
  5. Step 5: Solve for x
    x = 15,878,051,694.09/145,919.02
  6. Step 6: Final answer
    x = 108,814.13

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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.