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Finding the Fourth Proportional to 145,851.30, 201,274.92 and 78,783.30

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Solution

The fourth proportional to 145,851.30, 201,274.92 and 78,783.30 is: 108,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,851.30 : 201,274.92 = 78,783.30 : x
  2. Step 2: Convert to fraction form
    145,851.30/201,274.92 = 78,783.30/x
  3. Step 3: Cross multiply
    145,851.30x = 201,274.92 × 78,783.30
  4. Step 4: Simplify right side
    145,851.30x = 15,857,102,404.84
  5. Step 5: Solve for x
    x = 15,857,102,404.84/145,851.30
  6. Step 6: Final answer
    x = 108,721.02

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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.