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Finding the Fourth Proportional to 51,653.42, 77,510.04 and 21,664.99

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Solution

The fourth proportional to 51,653.42, 77,510.04 and 21,664.99 is: 32,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653.42 : 77,510.04 = 21,664.99 : x
  2. Step 2: Convert to fraction form
    51,653.42/77,510.04 = 21,664.99/x
  3. Step 3: Cross multiply
    51,653.42x = 77,510.04 × 21,664.99
  4. Step 4: Simplify right side
    51,653.42x = 1,679,254,114.13
  5. Step 5: Solve for x
    x = 1,679,254,114.13/51,653.42
  6. Step 6: Final answer
    x = 32,510.03

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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.