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Finding the Fourth Proportional to 115,482.95, 172,944.12 and 85,423.31

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Solution

The fourth proportional to 115,482.95, 172,944.12 and 85,423.31 is: 127,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,482.95 : 172,944.12 = 85,423.31 : x
  2. Step 2: Convert to fraction form
    115,482.95/172,944.12 = 85,423.31/x
  3. Step 3: Cross multiply
    115,482.95x = 172,944.12 × 85,423.31
  4. Step 4: Simplify right side
    115,482.95x = 14,773,459,175.44
  5. Step 5: Solve for x
    x = 14,773,459,175.44/115,482.95
  6. Step 6: Final answer
    x = 127,927.62

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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.