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Finding the Fourth Proportional to 56,521.80, 84,782.64 and 21,461.40

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Solution

The fourth proportional to 56,521.80, 84,782.64 and 21,461.40 is: 32,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,521.80 : 84,782.64 = 21,461.40 : x
  2. Step 2: Convert to fraction form
    56,521.80/84,782.64 = 21,461.40/x
  3. Step 3: Cross multiply
    56,521.80x = 84,782.64 × 21,461.40
  4. Step 4: Simplify right side
    56,521.80x = 1,819,554,150.10
  5. Step 5: Solve for x
    x = 1,819,554,150.10/56,521.80
  6. Step 6: Final answer
    x = 32,192.08

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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.