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Finding the Fourth Proportional to 61,983, 92,989.08 and 20,430

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Solution

The fourth proportional to 61,983, 92,989.08 and 20,430 is: 30,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,983 : 92,989.08 = 20,430 : x
  2. Step 2: Convert to fraction form
    61,983/92,989.08 = 20,430/x
  3. Step 3: Cross multiply
    61,983x = 92,989.08 × 20,430
  4. Step 4: Simplify right side
    61,983x = 1,899,766,904.40
  5. Step 5: Solve for x
    x = 1,899,766,904.40/61,983
  6. Step 6: Final answer
    x = 30,649.81

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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.