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Finding the Fourth Proportional to 51,594.84, 77,395.86 and 20,430

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Solution

The fourth proportional to 51,594.84, 77,395.86 and 20,430 is: 30,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,594.84 : 77,395.86 = 20,430 : x
  2. Step 2: Convert to fraction form
    51,594.84/77,395.86 = 20,430/x
  3. Step 3: Cross multiply
    51,594.84x = 77,395.86 × 20,430
  4. Step 4: Simplify right side
    51,594.84x = 1,581,197,419.80
  5. Step 5: Solve for x
    x = 1,581,197,419.80/51,594.84
  6. Step 6: Final answer
    x = 30,646.43

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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.