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Finding the Fourth Proportional to 147,832, 203,768.58 and 115,510.12

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Solution

The fourth proportional to 147,832, 203,768.58 and 115,510.12 is: 159,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,832 : 203,768.58 = 115,510.12 : x
  2. Step 2: Convert to fraction form
    147,832/203,768.58 = 115,510.12/x
  3. Step 3: Cross multiply
    147,832x = 203,768.58 × 115,510.12
  4. Step 4: Simplify right side
    147,832x = 23,537,333,128.03
  5. Step 5: Solve for x
    x = 23,537,333,128.03/147,832
  6. Step 6: Final answer
    x = 159,216.77

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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.