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Finding the Fourth Proportional to 114,464.20, 171,696.30 and 77,139.40

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Solution

The fourth proportional to 114,464.20, 171,696.30 and 77,139.40 is: 115,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.20 : 171,696.30 = 77,139.40 : x
  2. Step 2: Convert to fraction form
    114,464.20/171,696.30 = 77,139.40/x
  3. Step 3: Cross multiply
    114,464.20x = 171,696.30 × 77,139.40
  4. Step 4: Simplify right side
    114,464.20x = 13,244,549,564.22
  5. Step 5: Solve for x
    x = 13,244,549,564.22/114,464.20
  6. Step 6: Final answer
    x = 115,709.10

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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.