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Finding the Fourth Proportional to 157,033.50, 216,710.68 and 85,418.10

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Solution

The fourth proportional to 157,033.50, 216,710.68 and 85,418.10 is: 117,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,033.50 : 216,710.68 = 85,418.10 : x
  2. Step 2: Convert to fraction form
    157,033.50/216,710.68 = 85,418.10/x
  3. Step 3: Cross multiply
    157,033.50x = 216,710.68 × 85,418.10
  4. Step 4: Simplify right side
    157,033.50x = 18,511,014,535.31
  5. Step 5: Solve for x
    x = 18,511,014,535.31/157,033.50
  6. Step 6: Final answer
    x = 117,879.40

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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.