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Finding the Fourth Proportional to 55,985.40, 83,978.10 and 16,543.80

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Solution

The fourth proportional to 55,985.40, 83,978.10 and 16,543.80 is: 24,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,985.40 : 83,978.10 = 16,543.80 : x
  2. Step 2: Convert to fraction form
    55,985.40/83,978.10 = 16,543.80/x
  3. Step 3: Cross multiply
    55,985.40x = 83,978.10 × 16,543.80
  4. Step 4: Simplify right side
    55,985.40x = 1,389,316,890.78
  5. Step 5: Solve for x
    x = 1,389,316,890.78/55,985.40
  6. Step 6: Final answer
    x = 24,815.70

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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.