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Finding the Fourth Proportional to 147,158.69, 203,072.99 and 83,495.12

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Solution

The fourth proportional to 147,158.69, 203,072.99 and 83,495.12 is: 115,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,158.69 : 203,072.99 = 83,495.12 : x
  2. Step 2: Convert to fraction form
    147,158.69/203,072.99 = 83,495.12/x
  3. Step 3: Cross multiply
    147,158.69x = 203,072.99 × 83,495.12
  4. Step 4: Simplify right side
    147,158.69x = 16,955,602,235.97
  5. Step 5: Solve for x
    x = 16,955,602,235.97/147,158.69
  6. Step 6: Final answer
    x = 115,219.85

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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.