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Finding the Fourth Proportional to 138,087.59, 190,541.16 and 77,655.92

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Solution

The fourth proportional to 138,087.59, 190,541.16 and 77,655.92 is: 107,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,087.59 : 190,541.16 = 77,655.92 : x
  2. Step 2: Convert to fraction form
    138,087.59/190,541.16 = 77,655.92/x
  3. Step 3: Cross multiply
    138,087.59x = 190,541.16 × 77,655.92
  4. Step 4: Simplify right side
    138,087.59x = 14,796,648,124.96
  5. Step 5: Solve for x
    x = 14,796,648,124.96/138,087.59
  6. Step 6: Final answer
    x = 107,154.08

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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.