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Finding the Fourth Proportional to 212,102.68, 318,384.56 and 85,829.86

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Solution

The fourth proportional to 212,102.68, 318,384.56 and 85,829.86 is: 128,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.68 : 318,384.56 = 85,829.86 : x
  2. Step 2: Convert to fraction form
    212,102.68/318,384.56 = 85,829.86/x
  3. Step 3: Cross multiply
    212,102.68x = 318,384.56 × 85,829.86
  4. Step 4: Simplify right side
    212,102.68x = 27,326,902,210.96
  5. Step 5: Solve for x
    x = 27,326,902,210.96/212,102.68
  6. Step 6: Final answer
    x = 128,838.08

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1.5x scale

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.