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Finding the Fourth Proportional to 145,851, 201,274.46 and 78,783

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Solution

The fourth proportional to 145,851, 201,274.46 and 78,783 is: 108,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,851 : 201,274.46 = 78,783 : x
  2. Step 2: Convert to fraction form
    145,851/201,274.46 = 78,783/x
  3. Step 3: Cross multiply
    145,851x = 201,274.46 × 78,783
  4. Step 4: Simplify right side
    145,851x = 15,857,005,782.18
  5. Step 5: Solve for x
    x = 15,857,005,782.18/145,851
  6. Step 6: Final answer
    x = 108,720.58

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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.