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Finding the Fourth Proportional to 68,590.95, 102,811.16 and 35,312.78

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Solution

The fourth proportional to 68,590.95, 102,811.16 and 35,312.78 is: 52,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,590.95 : 102,811.16 = 35,312.78 : x
  2. Step 2: Convert to fraction form
    68,590.95/102,811.16 = 35,312.78/x
  3. Step 3: Cross multiply
    68,590.95x = 102,811.16 × 35,312.78
  4. Step 4: Simplify right side
    68,590.95x = 3,630,547,955.09
  5. Step 5: Solve for x
    x = 3,630,547,955.09/68,590.95
  6. Step 6: Final answer
    x = 52,930.43

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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.