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Finding the Fourth Proportional to 148,678.83, 205,179.84 and 84,148.07

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Solution

The fourth proportional to 148,678.83, 205,179.84 and 84,148.07 is: 116,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,678.83 : 205,179.84 = 84,148.07 : x
  2. Step 2: Convert to fraction form
    148,678.83/205,179.84 = 84,148.07/x
  3. Step 3: Cross multiply
    148,678.83x = 205,179.84 × 84,148.07
  4. Step 4: Simplify right side
    148,678.83x = 17,265,486,513.01
  5. Step 5: Solve for x
    x = 17,265,486,513.01/148,678.83
  6. Step 6: Final answer
    x = 116,126.06

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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.