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Finding the Fourth Proportional to 157,785.60, 236,563.20 and 64,243.20

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Solution

The fourth proportional to 157,785.60, 236,563.20 and 64,243.20 is: 96,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,785.60 : 236,563.20 = 64,243.20 : x
  2. Step 2: Convert to fraction form
    157,785.60/236,563.20 = 64,243.20/x
  3. Step 3: Cross multiply
    157,785.60x = 236,563.20 × 64,243.20
  4. Step 4: Simplify right side
    157,785.60x = 15,197,576,970.24
  5. Step 5: Solve for x
    x = 15,197,576,970.24/157,785.60
  6. Step 6: Final answer
    x = 96,317.90

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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.