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Finding the Fourth Proportional to 55,700, 76,869.65 and 30,549.50

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Solution

The fourth proportional to 55,700, 76,869.65 and 30,549.50 is: 42,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,700 : 76,869.65 = 30,549.50 : x
  2. Step 2: Convert to fraction form
    55,700/76,869.65 = 30,549.50/x
  3. Step 3: Cross multiply
    55,700x = 76,869.65 × 30,549.50
  4. Step 4: Simplify right side
    55,700x = 2,348,329,372.68
  5. Step 5: Solve for x
    x = 2,348,329,372.68/55,700
  6. Step 6: Final answer
    x = 42,160.31

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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.