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Finding the Fourth Proportional to 212,345.86, 318,520.41 and 77,506.58

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Solution

The fourth proportional to 212,345.86, 318,520.41 and 77,506.58 is: 116,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,345.86 : 318,520.41 = 77,506.58 : x
  2. Step 2: Convert to fraction form
    212,345.86/318,520.41 = 77,506.58/x
  3. Step 3: Cross multiply
    212,345.86x = 318,520.41 × 77,506.58
  4. Step 4: Simplify right side
    212,345.86x = 24,687,427,929.95
  5. Step 5: Solve for x
    x = 24,687,427,929.95/212,345.86
  6. Step 6: Final answer
    x = 116,260.46

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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.