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Finding the Fourth Proportional to 86,423.40, 129,780.90 and 56,971.80

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Solution

The fourth proportional to 86,423.40, 129,780.90 and 56,971.80 is: 85,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,423.40 : 129,780.90 = 56,971.80 : x
  2. Step 2: Convert to fraction form
    86,423.40/129,780.90 = 56,971.80/x
  3. Step 3: Cross multiply
    86,423.40x = 129,780.90 × 56,971.80
  4. Step 4: Simplify right side
    86,423.40x = 7,393,851,478.62
  5. Step 5: Solve for x
    x = 7,393,851,478.62/86,423.40
  6. Step 6: Final answer
    x = 85,553.81

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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.