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Finding the Fourth Proportional to 102,090.65, 140,886 and 56,151.20

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Solution

The fourth proportional to 102,090.65, 140,886 and 56,151.20 is: 77,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,090.65 : 140,886 = 56,151.20 : x
  2. Step 2: Convert to fraction form
    102,090.65/140,886 = 56,151.20/x
  3. Step 3: Cross multiply
    102,090.65x = 140,886 × 56,151.20
  4. Step 4: Simplify right side
    102,090.65x = 7,910,917,258.77
  5. Step 5: Solve for x
    x = 7,910,917,258.77/102,090.65
  6. Step 6: Final answer
    x = 77,489.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.