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Finding the Fourth Proportional to 147,442.04, 203,462.34 and 83,771

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Solution

The fourth proportional to 147,442.04, 203,462.34 and 83,771 is: 115,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,442.04 : 203,462.34 = 83,771 : x
  2. Step 2: Convert to fraction form
    147,442.04/203,462.34 = 83,771/x
  3. Step 3: Cross multiply
    147,442.04x = 203,462.34 × 83,771
  4. Step 4: Simplify right side
    147,442.04x = 17,044,243,684.14
  5. Step 5: Solve for x
    x = 17,044,243,684.14/147,442.04
  6. Step 6: Final answer
    x = 115,599.62

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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.