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Finding the Fourth Proportional to 212,564.96, 318,628.74 and 94,292

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Solution

The fourth proportional to 212,564.96, 318,628.74 and 94,292 is: 141,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,564.96 : 318,628.74 = 94,292 : x
  2. Step 2: Convert to fraction form
    212,564.96/318,628.74 = 94,292/x
  3. Step 3: Cross multiply
    212,564.96x = 318,628.74 × 94,292
  4. Step 4: Simplify right side
    212,564.96x = 30,044,141,152.08
  5. Step 5: Solve for x
    x = 30,044,141,152.08/212,564.96
  6. Step 6: Final answer
    x = 141,340.99

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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.