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Finding the Fourth Proportional to 145,981.76, 201,491.52 and 82,356.46

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Solution

The fourth proportional to 145,981.76, 201,491.52 and 82,356.46 is: 113,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,981.76 : 201,491.52 = 82,356.46 : x
  2. Step 2: Convert to fraction form
    145,981.76/201,491.52 = 82,356.46/x
  3. Step 3: Cross multiply
    145,981.76x = 201,491.52 × 82,356.46
  4. Step 4: Simplify right side
    145,981.76x = 16,594,127,803.49
  5. Step 5: Solve for x
    x = 16,594,127,803.49/145,981.76
  6. Step 6: Final answer
    x = 113,672.61

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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.