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Finding the Fourth Proportional to 55,805.68, 77,011.50 and 30,655

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Solution

The fourth proportional to 55,805.68, 77,011.50 and 30,655 is: 42,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,805.68 : 77,011.50 = 30,655 : x
  2. Step 2: Convert to fraction form
    55,805.68/77,011.50 = 30,655/x
  3. Step 3: Cross multiply
    55,805.68x = 77,011.50 × 30,655
  4. Step 4: Simplify right side
    55,805.68x = 2,360,787,532.50
  5. Step 5: Solve for x
    x = 2,360,787,532.50/55,805.68
  6. Step 6: Final answer
    x = 42,303.71

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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.