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Finding the Fourth Proportional to 185,428, 278,157.84 and 52,309.60

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Solution

The fourth proportional to 185,428, 278,157.84 and 52,309.60 is: 78,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,428 : 278,157.84 = 52,309.60 : x
  2. Step 2: Convert to fraction form
    185,428/278,157.84 = 52,309.60/x
  3. Step 3: Cross multiply
    185,428x = 278,157.84 × 52,309.60
  4. Step 4: Simplify right side
    185,428x = 14,550,325,347.26
  5. Step 5: Solve for x
    x = 14,550,325,347.26/185,428
  6. Step 6: Final answer
    x = 78,468.87

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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.