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Finding the Fourth Proportional to 106,957.50, 147,555 and 64,492.44

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Solution

The fourth proportional to 106,957.50, 147,555 and 64,492.44 is: 88,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.50 : 147,555 = 64,492.44 : x
  2. Step 2: Convert to fraction form
    106,957.50/147,555 = 64,492.44/x
  3. Step 3: Cross multiply
    106,957.50x = 147,555 × 64,492.44
  4. Step 4: Simplify right side
    106,957.50x = 9,516,181,246.43
  5. Step 5: Solve for x
    x = 9,516,181,246.43/106,957.50
  6. Step 6: Final answer
    x = 88,971.62

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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.