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Finding the Fourth Proportional to 60,905, 84,057 and 35,754.50

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Solution

The fourth proportional to 60,905, 84,057 and 35,754.50 is: 49,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,905 : 84,057 = 35,754.50 : x
  2. Step 2: Convert to fraction form
    60,905/84,057 = 35,754.50/x
  3. Step 3: Cross multiply
    60,905x = 84,057 × 35,754.50
  4. Step 4: Simplify right side
    60,905x = 3,005,416,006.50
  5. Step 5: Solve for x
    x = 3,005,416,006.50/60,905
  6. Step 6: Final answer
    x = 49,345.97

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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.