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Finding the Fourth Proportional to 174,543.60, 261,815.40 and 85,970.10

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Solution

The fourth proportional to 174,543.60, 261,815.40 and 85,970.10 is: 128,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,543.60 : 261,815.40 = 85,970.10 : x
  2. Step 2: Convert to fraction form
    174,543.60/261,815.40 = 85,970.10/x
  3. Step 3: Cross multiply
    174,543.60x = 261,815.40 × 85,970.10
  4. Step 4: Simplify right side
    174,543.60x = 22,508,296,119.54
  5. Step 5: Solve for x
    x = 22,508,296,119.54/174,543.60
  6. Step 6: Final answer
    x = 128,955.15

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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.