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Finding the Fourth Proportional to 101,842.75, 140,543.81 and 61,583.32

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Solution

The fourth proportional to 101,842.75, 140,543.81 and 61,583.32 is: 84,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.75 : 140,543.81 = 61,583.32 : x
  2. Step 2: Convert to fraction form
    101,842.75/140,543.81 = 61,583.32/x
  3. Step 3: Cross multiply
    101,842.75x = 140,543.81 × 61,583.32
  4. Step 4: Simplify right side
    101,842.75x = 8,655,154,523.95
  5. Step 5: Solve for x
    x = 8,655,154,523.95/101,842.75
  6. Step 6: Final answer
    x = 84,985.47

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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.