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Finding the Fourth Proportional to 57,624, 79,521.12 and 31,128

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Solution

The fourth proportional to 57,624, 79,521.12 and 31,128 is: 42,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,624 : 79,521.12 = 31,128 : x
  2. Step 2: Convert to fraction form
    57,624/79,521.12 = 31,128/x
  3. Step 3: Cross multiply
    57,624x = 79,521.12 × 31,128
  4. Step 4: Simplify right side
    57,624x = 2,475,333,423.36
  5. Step 5: Solve for x
    x = 2,475,333,423.36/57,624
  6. Step 6: Final answer
    x = 42,956.64

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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.