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Finding the Fourth Proportional to 66,021.52, 99,031.32 and 16,102

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Solution

The fourth proportional to 66,021.52, 99,031.32 and 16,102 is: 24,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,021.52 : 99,031.32 = 16,102 : x
  2. Step 2: Convert to fraction form
    66,021.52/99,031.32 = 16,102/x
  3. Step 3: Cross multiply
    66,021.52x = 99,031.32 × 16,102
  4. Step 4: Simplify right side
    66,021.52x = 1,594,602,314.64
  5. Step 5: Solve for x
    x = 1,594,602,314.64/66,021.52
  6. Step 6: Final answer
    x = 24,152.77

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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.