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Finding the Fourth Proportional to 142,144.92, 213,216.36 and 57,885.28

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Solution

The fourth proportional to 142,144.92, 213,216.36 and 57,885.28 is: 86,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,144.92 : 213,216.36 = 57,885.28 : x
  2. Step 2: Convert to fraction form
    142,144.92/213,216.36 = 57,885.28/x
  3. Step 3: Cross multiply
    142,144.92x = 213,216.36 × 57,885.28
  4. Step 4: Simplify right side
    142,144.92x = 12,342,088,699.18
  5. Step 5: Solve for x
    x = 12,342,088,699.18/142,144.92
  6. Step 6: Final answer
    x = 86,827.50

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1.5x scale

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.