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Finding the Fourth Proportional to 159,044.94, 219,477.58 and 87,415.16

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Solution

The fourth proportional to 159,044.94, 219,477.58 and 87,415.16 is: 120,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,044.94 : 219,477.58 = 87,415.16 : x
  2. Step 2: Convert to fraction form
    159,044.94/219,477.58 = 87,415.16/x
  3. Step 3: Cross multiply
    159,044.94x = 219,477.58 × 87,415.16
  4. Step 4: Simplify right side
    159,044.94x = 19,185,667,772.11
  5. Step 5: Solve for x
    x = 19,185,667,772.11/159,044.94
  6. Step 6: Final answer
    x = 120,630.48

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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.