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Finding the Fourth Proportional to 185,070.40, 277,564 and 85,134.64

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Solution

The fourth proportional to 185,070.40, 277,564 and 85,134.64 is: 127,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,070.40 : 277,564 = 85,134.64 : x
  2. Step 2: Convert to fraction form
    185,070.40/277,564 = 85,134.64/x
  3. Step 3: Cross multiply
    185,070.40x = 277,564 × 85,134.64
  4. Step 4: Simplify right side
    185,070.40x = 23,630,311,216.96
  5. Step 5: Solve for x
    x = 23,630,311,216.96/185,070.40
  6. Step 6: Final answer
    x = 127,682.82

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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.