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Finding the Fourth Proportional to 138,323, 190,656.29 and 97,985

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Solution

The fourth proportional to 138,323, 190,656.29 and 97,985 is: 135,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,323 : 190,656.29 = 97,985 : x
  2. Step 2: Convert to fraction form
    138,323/190,656.29 = 97,985/x
  3. Step 3: Cross multiply
    138,323x = 190,656.29 × 97,985
  4. Step 4: Simplify right side
    138,323x = 18,681,456,575.65
  5. Step 5: Solve for x
    x = 18,681,456,575.65/138,323
  6. Step 6: Final answer
    x = 135,056.76

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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.