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Finding the Fourth Proportional to 78,200.52, 117,276 and 28,274.01

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Solution

The fourth proportional to 78,200.52, 117,276 and 28,274.01 is: 42,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.52 : 117,276 = 28,274.01 : x
  2. Step 2: Convert to fraction form
    78,200.52/117,276 = 28,274.01/x
  3. Step 3: Cross multiply
    78,200.52x = 117,276 × 28,274.01
  4. Step 4: Simplify right side
    78,200.52x = 3,315,862,210.38
  5. Step 5: Solve for x
    x = 3,315,862,210.38/78,200.52
  6. Step 6: Final answer
    x = 42,402.05

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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.