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Finding the Fourth Proportional to 211,678.76, 317,435.12 and 85,295.40

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Solution

The fourth proportional to 211,678.76, 317,435.12 and 85,295.40 is: 127,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,678.76 : 317,435.12 = 85,295.40 : x
  2. Step 2: Convert to fraction form
    211,678.76/317,435.12 = 85,295.40/x
  3. Step 3: Cross multiply
    211,678.76x = 317,435.12 × 85,295.40
  4. Step 4: Simplify right side
    211,678.76x = 27,075,755,534.45
  5. Step 5: Solve for x
    x = 27,075,755,534.45/211,678.76
  6. Step 6: Final answer
    x = 127,909.65

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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.