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Finding the Fourth Proportional to 145,492.68, 200,872.14 and 99,629.07

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Solution

The fourth proportional to 145,492.68, 200,872.14 and 99,629.07 is: 137,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492.68 : 200,872.14 = 99,629.07 : x
  2. Step 2: Convert to fraction form
    145,492.68/200,872.14 = 99,629.07/x
  3. Step 3: Cross multiply
    145,492.68x = 200,872.14 × 99,629.07
  4. Step 4: Simplify right side
    145,492.68x = 20,012,704,497.11
  5. Step 5: Solve for x
    x = 20,012,704,497.11/145,492.68
  6. Step 6: Final answer
    x = 137,551.28

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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.