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Finding the Fourth Proportional to 142,969.84, 214,456.30 and 43,130.90

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Solution

The fourth proportional to 142,969.84, 214,456.30 and 43,130.90 is: 64,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,969.84 : 214,456.30 = 43,130.90 : x
  2. Step 2: Convert to fraction form
    142,969.84/214,456.30 = 43,130.90/x
  3. Step 3: Cross multiply
    142,969.84x = 214,456.30 × 43,130.90
  4. Step 4: Simplify right side
    142,969.84x = 9,249,691,941.73
  5. Step 5: Solve for x
    x = 9,249,691,941.73/142,969.84
  6. Step 6: Final answer
    x = 64,696.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.