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Finding the Fourth Proportional to 115,274, 159,209.34 and 77,482.64

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Solution

The fourth proportional to 115,274, 159,209.34 and 77,482.64 is: 107,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,274 : 159,209.34 = 77,482.64 : x
  2. Step 2: Convert to fraction form
    115,274/159,209.34 = 77,482.64/x
  3. Step 3: Cross multiply
    115,274x = 159,209.34 × 77,482.64
  4. Step 4: Simplify right side
    115,274x = 12,335,959,975.86
  5. Step 5: Solve for x
    x = 12,335,959,975.86/115,274
  6. Step 6: Final answer
    x = 107,014.24

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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.