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Finding the Fourth Proportional to 218,152.80, 301,045.68 and 142,699.68

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Solution

The fourth proportional to 218,152.80, 301,045.68 and 142,699.68 is: 196,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,152.80 : 301,045.68 = 142,699.68 : x
  2. Step 2: Convert to fraction form
    218,152.80/301,045.68 = 142,699.68/x
  3. Step 3: Cross multiply
    218,152.80x = 301,045.68 × 142,699.68
  4. Step 4: Simplify right side
    218,152.80x = 42,959,122,201.38
  5. Step 5: Solve for x
    x = 42,959,122,201.38/218,152.80
  6. Step 6: Final answer
    x = 196,922.17

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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.