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Finding the Fourth Proportional to 189,943.72, 284,810.36 and 77,702.72

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Solution

The fourth proportional to 189,943.72, 284,810.36 and 77,702.72 is: 116,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,943.72 : 284,810.36 = 77,702.72 : x
  2. Step 2: Convert to fraction form
    189,943.72/284,810.36 = 77,702.72/x
  3. Step 3: Cross multiply
    189,943.72x = 284,810.36 × 77,702.72
  4. Step 4: Simplify right side
    189,943.72x = 22,130,537,843.61
  5. Step 5: Solve for x
    x = 22,130,537,843.61/189,943.72
  6. Step 6: Final answer
    x = 116,511.03

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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.