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Finding the Fourth Proportional to 45,188, 67,782.02 and 12,356

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Solution

The fourth proportional to 45,188, 67,782.02 and 12,356 is: 18,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,188 : 67,782.02 = 12,356 : x
  2. Step 2: Convert to fraction form
    45,188/67,782.02 = 12,356/x
  3. Step 3: Cross multiply
    45,188x = 67,782.02 × 12,356
  4. Step 4: Simplify right side
    45,188x = 837,514,639.12
  5. Step 5: Solve for x
    x = 837,514,639.12/45,188
  6. Step 6: Final answer
    x = 18,534.01

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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.