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Finding the Fourth Proportional to 218,710.90, 301,758.10 and 142,342.35

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Solution

The fourth proportional to 218,710.90, 301,758.10 and 142,342.35 is: 196,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,710.90 : 301,758.10 = 142,342.35 : x
  2. Step 2: Convert to fraction form
    218,710.90/301,758.10 = 142,342.35/x
  3. Step 3: Cross multiply
    218,710.90x = 301,758.10 × 142,342.35
  4. Step 4: Simplify right side
    218,710.90x = 42,952,957,085.54
  5. Step 5: Solve for x
    x = 42,952,957,085.54/218,710.90
  6. Step 6: Final answer
    x = 196,391.48

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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.