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Finding the Fourth Proportional to 55,386.70, 83,080.05 and 31,985.80

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Solution

The fourth proportional to 55,386.70, 83,080.05 and 31,985.80 is: 47,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,386.70 : 83,080.05 = 31,985.80 : x
  2. Step 2: Convert to fraction form
    55,386.70/83,080.05 = 31,985.80/x
  3. Step 3: Cross multiply
    55,386.70x = 83,080.05 × 31,985.80
  4. Step 4: Simplify right side
    55,386.70x = 2,657,381,863.29
  5. Step 5: Solve for x
    x = 2,657,381,863.29/55,386.70
  6. Step 6: Final answer
    x = 47,978.70

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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.