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Finding the Fourth Proportional to 145,578.82, 200,901.84 and 81,916.63

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Solution

The fourth proportional to 145,578.82, 200,901.84 and 81,916.63 is: 113,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,578.82 : 200,901.84 = 81,916.63 : x
  2. Step 2: Convert to fraction form
    145,578.82/200,901.84 = 81,916.63/x
  3. Step 3: Cross multiply
    145,578.82x = 200,901.84 × 81,916.63
  4. Step 4: Simplify right side
    145,578.82x = 16,457,201,693.60
  5. Step 5: Solve for x
    x = 16,457,201,693.60/145,578.82
  6. Step 6: Final answer
    x = 113,046.68

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1.5x scale

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.