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Finding the Fourth Proportional to 136,712.96, 205,070.72 and 43,219.20

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Solution

The fourth proportional to 136,712.96, 205,070.72 and 43,219.20 is: 64,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,712.96 : 205,070.72 = 43,219.20 : x
  2. Step 2: Convert to fraction form
    136,712.96/205,070.72 = 43,219.20/x
  3. Step 3: Cross multiply
    136,712.96x = 205,070.72 × 43,219.20
  4. Step 4: Simplify right side
    136,712.96x = 8,862,992,461.82
  5. Step 5: Solve for x
    x = 8,862,992,461.82/136,712.96
  6. Step 6: Final answer
    x = 64,829.20

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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.