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Finding the Fourth Proportional to 136,130.86, 187,859.86 and 75,697.98

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Solution

The fourth proportional to 136,130.86, 187,859.86 and 75,697.98 is: 104,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,130.86 : 187,859.86 = 75,697.98 : x
  2. Step 2: Convert to fraction form
    136,130.86/187,859.86 = 75,697.98/x
  3. Step 3: Cross multiply
    136,130.86x = 187,859.86 × 75,697.98
  4. Step 4: Simplify right side
    136,130.86x = 14,220,611,031.36
  5. Step 5: Solve for x
    x = 14,220,611,031.36/136,130.86
  6. Step 6: Final answer
    x = 104,462.80

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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.