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Finding the Fourth Proportional to 157,164.72, 216,880.68 and 85,544.88

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Solution

The fourth proportional to 157,164.72, 216,880.68 and 85,544.88 is: 118,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,164.72 : 216,880.68 = 85,544.88 : x
  2. Step 2: Convert to fraction form
    157,164.72/216,880.68 = 85,544.88/x
  3. Step 3: Cross multiply
    157,164.72x = 216,880.68 × 85,544.88
  4. Step 4: Simplify right side
    157,164.72x = 18,553,031,744.92
  5. Step 5: Solve for x
    x = 18,553,031,744.92/157,164.72
  6. Step 6: Final answer
    x = 118,048.32

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1.5x scale

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.