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Finding the Fourth Proportional to 136,085, 187,803.70 and 75,656.64

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Solution

The fourth proportional to 136,085, 187,803.70 and 75,656.64 is: 104,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,085 : 187,803.70 = 75,656.64 : x
  2. Step 2: Convert to fraction form
    136,085/187,803.70 = 75,656.64/x
  3. Step 3: Cross multiply
    136,085x = 187,803.70 × 75,656.64
  4. Step 4: Simplify right side
    136,085x = 14,208,596,921.57
  5. Step 5: Solve for x
    x = 14,208,596,921.57/136,085
  6. Step 6: Final answer
    x = 104,409.72

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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.