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Finding the Fourth Proportional to 143,580, 215,378.64 and 45,084

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Solution

The fourth proportional to 143,580, 215,378.64 and 45,084 is: 67,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,580 : 215,378.64 = 45,084 : x
  2. Step 2: Convert to fraction form
    143,580/215,378.64 = 45,084/x
  3. Step 3: Cross multiply
    143,580x = 215,378.64 × 45,084
  4. Step 4: Simplify right side
    143,580x = 9,710,130,605.76
  5. Step 5: Solve for x
    x = 9,710,130,605.76/143,580
  6. Step 6: Final answer
    x = 67,628.71

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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.