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Finding the Fourth Proportional to 56,959.70, 85,448.79 and 21,423.80

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Solution

The fourth proportional to 56,959.70, 85,448.79 and 21,423.80 is: 32,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,959.70 : 85,448.79 = 21,423.80 : x
  2. Step 2: Convert to fraction form
    56,959.70/85,448.79 = 21,423.80/x
  3. Step 3: Cross multiply
    56,959.70x = 85,448.79 × 21,423.80
  4. Step 4: Simplify right side
    56,959.70x = 1,830,637,787.20
  5. Step 5: Solve for x
    x = 1,830,637,787.20/56,959.70
  6. Step 6: Final answer
    x = 32,139.18

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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.