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Finding the Fourth Proportional to 137,056.64, 205,444.92 and 77,767.06

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Solution

The fourth proportional to 137,056.64, 205,444.92 and 77,767.06 is: 116,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056.64 : 205,444.92 = 77,767.06 : x
  2. Step 2: Convert to fraction form
    137,056.64/205,444.92 = 77,767.06/x
  3. Step 3: Cross multiply
    137,056.64x = 205,444.92 × 77,767.06
  4. Step 4: Simplify right side
    137,056.64x = 15,976,847,420.34
  5. Step 5: Solve for x
    x = 15,976,847,420.34/137,056.64
  6. Step 6: Final answer
    x = 116,571.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.