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Finding the Fourth Proportional to 138,994.16, 191,810.53 and 77,739.70

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Solution

The fourth proportional to 138,994.16, 191,810.53 and 77,739.70 is: 107,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,994.16 : 191,810.53 = 77,739.70 : x
  2. Step 2: Convert to fraction form
    138,994.16/191,810.53 = 77,739.70/x
  3. Step 3: Cross multiply
    138,994.16x = 191,810.53 × 77,739.70
  4. Step 4: Simplify right side
    138,994.16x = 14,911,293,036.33
  5. Step 5: Solve for x
    x = 14,911,293,036.33/138,994.16
  6. Step 6: Final answer
    x = 107,280.00

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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.