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Finding the Fourth Proportional to 102,122.42, 140,871.42 and 61,275.98

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Solution

The fourth proportional to 102,122.42, 140,871.42 and 61,275.98 is: 84,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122.42 : 140,871.42 = 61,275.98 : x
  2. Step 2: Convert to fraction form
    102,122.42/140,871.42 = 61,275.98/x
  3. Step 3: Cross multiply
    102,122.42x = 140,871.42 × 61,275.98
  4. Step 4: Simplify right side
    102,122.42x = 8,632,033,610.13
  5. Step 5: Solve for x
    x = 8,632,033,610.13/102,122.42
  6. Step 6: Final answer
    x = 84,526.34

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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.