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Finding the Fourth Proportional to 211,303.48, 316,964.94 and 86,557

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Solution

The fourth proportional to 211,303.48, 316,964.94 and 86,557 is: 129,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,303.48 : 316,964.94 = 86,557 : x
  2. Step 2: Convert to fraction form
    211,303.48/316,964.94 = 86,557/x
  3. Step 3: Cross multiply
    211,303.48x = 316,964.94 × 86,557
  4. Step 4: Simplify right side
    211,303.48x = 27,435,534,311.58
  5. Step 5: Solve for x
    x = 27,435,534,311.58/211,303.48
  6. Step 6: Final answer
    x = 129,839.48

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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.