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Finding the Fourth Proportional to 79,266.76, 109,389.36 and 47,437

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Solution

The fourth proportional to 79,266.76, 109,389.36 and 47,437 is: 65,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,266.76 : 109,389.36 = 47,437 : x
  2. Step 2: Convert to fraction form
    79,266.76/109,389.36 = 47,437/x
  3. Step 3: Cross multiply
    79,266.76x = 109,389.36 × 47,437
  4. Step 4: Simplify right side
    79,266.76x = 5,189,103,070.32
  5. Step 5: Solve for x
    x = 5,189,103,070.32/79,266.76
  6. Step 6: Final answer
    x = 65,463.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.