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Finding the Fourth Proportional to 171,624.10, 257,436.15 and 142,464.10

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Solution

The fourth proportional to 171,624.10, 257,436.15 and 142,464.10 is: 213,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,624.10 : 257,436.15 = 142,464.10 : x
  2. Step 2: Convert to fraction form
    171,624.10/257,436.15 = 142,464.10/x
  3. Step 3: Cross multiply
    171,624.10x = 257,436.15 × 142,464.10
  4. Step 4: Simplify right side
    171,624.10x = 36,675,409,417.22
  5. Step 5: Solve for x
    x = 36,675,409,417.22/171,624.10
  6. Step 6: Final answer
    x = 213,696.15

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1.5x scale

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.