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Finding the Fourth Proportional to 174,064, 261,059.40 and 85,228

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Solution

The fourth proportional to 174,064, 261,059.40 and 85,228 is: 127,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,064 : 261,059.40 = 85,228 : x
  2. Step 2: Convert to fraction form
    174,064/261,059.40 = 85,228/x
  3. Step 3: Cross multiply
    174,064x = 261,059.40 × 85,228
  4. Step 4: Simplify right side
    174,064x = 22,249,570,543.20
  5. Step 5: Solve for x
    x = 22,249,570,543.20/174,064
  6. Step 6: Final answer
    x = 127,824.08

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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.