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Finding the Fourth Proportional to 142,148, 213,242.16 and 52,179.20

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Solution

The fourth proportional to 142,148, 213,242.16 and 52,179.20 is: 78,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,148 : 213,242.16 = 52,179.20 : x
  2. Step 2: Convert to fraction form
    142,148/213,242.16 = 52,179.20/x
  3. Step 3: Cross multiply
    142,148x = 213,242.16 × 52,179.20
  4. Step 4: Simplify right side
    142,148x = 11,126,805,315.07
  5. Step 5: Solve for x
    x = 11,126,805,315.07/142,148
  6. Step 6: Final answer
    x = 78,276.20

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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.