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Finding the Fourth Proportional to 98,256.84, 147,384.64 and 28,136.15

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Solution

The fourth proportional to 98,256.84, 147,384.64 and 28,136.15 is: 42,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,256.84 : 147,384.64 = 28,136.15 : x
  2. Step 2: Convert to fraction form
    98,256.84/147,384.64 = 28,136.15/x
  3. Step 3: Cross multiply
    98,256.84x = 147,384.64 × 28,136.15
  4. Step 4: Simplify right side
    98,256.84x = 4,146,836,338.74
  5. Step 5: Solve for x
    x = 4,146,836,338.74/98,256.84
  6. Step 6: Final answer
    x = 42,204.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.