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Finding the Fourth Proportional to 211,268.40, 316,899.54 and 51,345.51

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Solution

The fourth proportional to 211,268.40, 316,899.54 and 51,345.51 is: 77,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,268.40 : 316,899.54 = 51,345.51 : x
  2. Step 2: Convert to fraction form
    211,268.40/316,899.54 = 51,345.51/x
  3. Step 3: Cross multiply
    211,268.40x = 316,899.54 × 51,345.51
  4. Step 4: Simplify right side
    211,268.40x = 16,271,368,500.07
  5. Step 5: Solve for x
    x = 16,271,368,500.07/211,268.40
  6. Step 6: Final answer
    x = 77,017.52

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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.