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Finding the Fourth Proportional to 68,502.40, 102,752.16 and 31,566.40

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Solution

The fourth proportional to 68,502.40, 102,752.16 and 31,566.40 is: 47,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502.40 : 102,752.16 = 31,566.40 : x
  2. Step 2: Convert to fraction form
    68,502.40/102,752.16 = 31,566.40/x
  3. Step 3: Cross multiply
    68,502.40x = 102,752.16 × 31,566.40
  4. Step 4: Simplify right side
    68,502.40x = 3,243,515,783.42
  5. Step 5: Solve for x
    x = 3,243,515,783.42/68,502.40
  6. Step 6: Final answer
    x = 47,348.94

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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.