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Finding the Fourth Proportional to 211,562.57, 317,141.53 and 78,407.08

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Solution

The fourth proportional to 211,562.57, 317,141.53 and 78,407.08 is: 117,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,562.57 : 317,141.53 = 78,407.08 : x
  2. Step 2: Convert to fraction form
    211,562.57/317,141.53 = 78,407.08/x
  3. Step 3: Cross multiply
    211,562.57x = 317,141.53 × 78,407.08
  4. Step 4: Simplify right side
    211,562.57x = 24,866,140,325.16
  5. Step 5: Solve for x
    x = 24,866,140,325.16/211,562.57
  6. Step 6: Final answer
    x = 117,535.63

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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.