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Finding the Fourth Proportional to 211,043.16, 316,530.54 and 77,986.08

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Solution

The fourth proportional to 211,043.16, 316,530.54 and 77,986.08 is: 116,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,043.16 : 316,530.54 = 77,986.08 : x
  2. Step 2: Convert to fraction form
    211,043.16/316,530.54 = 77,986.08/x
  3. Step 3: Cross multiply
    211,043.16x = 316,530.54 × 77,986.08
  4. Step 4: Simplify right side
    211,043.16x = 24,684,976,014.88
  5. Step 5: Solve for x
    x = 24,684,976,014.88/211,043.16
  6. Step 6: Final answer
    x = 116,966.48

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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.