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Finding the Fourth Proportional to 115,274.25, 159,209.69 and 77,482.89

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Solution

The fourth proportional to 115,274.25, 159,209.69 and 77,482.89 is: 107,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,274.25 : 159,209.69 = 77,482.89 : x
  2. Step 2: Convert to fraction form
    115,274.25/159,209.69 = 77,482.89/x
  3. Step 3: Cross multiply
    115,274.25x = 159,209.69 × 77,482.89
  4. Step 4: Simplify right side
    115,274.25x = 12,336,026,509.79
  5. Step 5: Solve for x
    x = 12,336,026,509.79/115,274.25
  6. Step 6: Final answer
    x = 107,014.59

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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.