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Finding the Fourth Proportional to 110,478.47, 165,784.32 and 39,395.70

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Solution

The fourth proportional to 110,478.47, 165,784.32 and 39,395.70 is: 59,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,478.47 : 165,784.32 = 39,395.70 : x
  2. Step 2: Convert to fraction form
    110,478.47/165,784.32 = 39,395.70/x
  3. Step 3: Cross multiply
    110,478.47x = 165,784.32 × 39,395.70
  4. Step 4: Simplify right side
    110,478.47x = 6,531,189,335.42
  5. Step 5: Solve for x
    x = 6,531,189,335.42/110,478.47
  6. Step 6: Final answer
    x = 59,117.31

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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.