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Finding the Fourth Proportional to 145,706.47, 201,081.13 and 81,175.67

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Solution

The fourth proportional to 145,706.47, 201,081.13 and 81,175.67 is: 112,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,706.47 : 201,081.13 = 81,175.67 : x
  2. Step 2: Convert to fraction form
    145,706.47/201,081.13 = 81,175.67/x
  3. Step 3: Cross multiply
    145,706.47x = 201,081.13 × 81,175.67
  4. Step 4: Simplify right side
    145,706.47x = 16,322,894,243.76
  5. Step 5: Solve for x
    x = 16,322,894,243.76/145,706.47
  6. Step 6: Final answer
    x = 112,025.87

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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.