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Finding the Fourth Proportional to 112,893.60, 169,276.40 and 42,775.20

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Solution

The fourth proportional to 112,893.60, 169,276.40 and 42,775.20 is: 64,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,893.60 : 169,276.40 = 42,775.20 : x
  2. Step 2: Convert to fraction form
    112,893.60/169,276.40 = 42,775.20/x
  3. Step 3: Cross multiply
    112,893.60x = 169,276.40 × 42,775.20
  4. Step 4: Simplify right side
    112,893.60x = 7,240,831,865.28
  5. Step 5: Solve for x
    x = 7,240,831,865.28/112,893.60
  6. Step 6: Final answer
    x = 64,138.55

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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.