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Finding the Fourth Proportional to 109,362.91, 164,038.90 and 42,815.24

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Solution

The fourth proportional to 109,362.91, 164,038.90 and 42,815.24 is: 64,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,362.91 : 164,038.90 = 42,815.24 : x
  2. Step 2: Convert to fraction form
    109,362.91/164,038.90 = 42,815.24/x
  3. Step 3: Cross multiply
    109,362.91x = 164,038.90 × 42,815.24
  4. Step 4: Simplify right side
    109,362.91x = 7,023,364,872.84
  5. Step 5: Solve for x
    x = 7,023,364,872.84/109,362.91
  6. Step 6: Final answer
    x = 64,220.72

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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.