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Finding the Fourth Proportional to 147,658.60, 203,788.34 and 83,984.10

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Solution

The fourth proportional to 147,658.60, 203,788.34 and 83,984.10 is: 115,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,658.60 : 203,788.34 = 83,984.10 : x
  2. Step 2: Convert to fraction form
    147,658.60/203,788.34 = 83,984.10/x
  3. Step 3: Cross multiply
    147,658.60x = 203,788.34 × 83,984.10
  4. Step 4: Simplify right side
    147,658.60x = 17,114,980,325.39
  5. Step 5: Solve for x
    x = 17,114,980,325.39/147,658.60
  6. Step 6: Final answer
    x = 115,909.13

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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.