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Finding the Fourth Proportional to 138,681, 191,378.64 and 75,018.96

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Solution

The fourth proportional to 138,681, 191,378.64 and 75,018.96 is: 103,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681 : 191,378.64 = 75,018.96 : x
  2. Step 2: Convert to fraction form
    138,681/191,378.64 = 75,018.96/x
  3. Step 3: Cross multiply
    138,681x = 191,378.64 × 75,018.96
  4. Step 4: Simplify right side
    138,681x = 14,357,026,539.01
  5. Step 5: Solve for x
    x = 14,357,026,539.01/138,681
  6. Step 6: Final answer
    x = 103,525.55

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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.