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Finding the Fourth Proportional to 157,395, 235,963.80 and 73,207.64

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Solution

The fourth proportional to 157,395, 235,963.80 and 73,207.64 is: 109,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,395 : 235,963.80 = 73,207.64 : x
  2. Step 2: Convert to fraction form
    157,395/235,963.80 = 73,207.64/x
  3. Step 3: Cross multiply
    157,395x = 235,963.80 × 73,207.64
  4. Step 4: Simplify right side
    157,395x = 17,274,352,923.43
  5. Step 5: Solve for x
    x = 17,274,352,923.43/157,395
  6. Step 6: Final answer
    x = 109,751.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.