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Finding the Fourth Proportional to 55,662, 76,813.56 and 30,511.68

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Solution

The fourth proportional to 55,662, 76,813.56 and 30,511.68 is: 42,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,662 : 76,813.56 = 30,511.68 : x
  2. Step 2: Convert to fraction form
    55,662/76,813.56 = 30,511.68/x
  3. Step 3: Cross multiply
    55,662x = 76,813.56 × 30,511.68
  4. Step 4: Simplify right side
    55,662x = 2,343,710,762.38
  5. Step 5: Solve for x
    x = 2,343,710,762.38/55,662
  6. Step 6: Final answer
    x = 42,106.12

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1.5x scale

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.