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Finding the Fourth Proportional to 130,482.84, 195,427.17 and 77,783.43

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Solution

The fourth proportional to 130,482.84, 195,427.17 and 77,783.43 is: 116,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,482.84 : 195,427.17 = 77,783.43 : x
  2. Step 2: Convert to fraction form
    130,482.84/195,427.17 = 77,783.43/x
  3. Step 3: Cross multiply
    130,482.84x = 195,427.17 × 77,783.43
  4. Step 4: Simplify right side
    130,482.84x = 15,200,995,597.79
  5. Step 5: Solve for x
    x = 15,200,995,597.79/130,482.84
  6. Step 6: Final answer
    x = 116,498.04

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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.