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Finding the Fourth Proportional to 101,817.76, 140,509.20 and 59,378.08

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Solution

The fourth proportional to 101,817.76, 140,509.20 and 59,378.08 is: 81,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817.76 : 140,509.20 = 59,378.08 : x
  2. Step 2: Convert to fraction form
    101,817.76/140,509.20 = 59,378.08/x
  3. Step 3: Cross multiply
    101,817.76x = 140,509.20 × 59,378.08
  4. Step 4: Simplify right side
    101,817.76x = 8,343,166,518.34
  5. Step 5: Solve for x
    x = 8,343,166,518.34/101,817.76
  6. Step 6: Final answer
    x = 81,942.15

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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.