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Finding the Fourth Proportional to 212,103.68, 318,386.06 and 85,830.86

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Solution

The fourth proportional to 212,103.68, 318,386.06 and 85,830.86 is: 128,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,103.68 : 318,386.06 = 85,830.86 : x
  2. Step 2: Convert to fraction form
    212,103.68/318,386.06 = 85,830.86/x
  3. Step 3: Cross multiply
    212,103.68x = 318,386.06 × 85,830.86
  4. Step 4: Simplify right side
    212,103.68x = 27,327,349,341.81
  5. Step 5: Solve for x
    x = 27,327,349,341.81/212,103.68
  6. Step 6: Final answer
    x = 128,839.58

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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.