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Finding the Fourth Proportional to 137,411.32, 206,115.32 and 77,444.32

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Solution

The fourth proportional to 137,411.32, 206,115.32 and 77,444.32 is: 116,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.32 : 206,115.32 = 77,444.32 : x
  2. Step 2: Convert to fraction form
    137,411.32/206,115.32 = 77,444.32/x
  3. Step 3: Cross multiply
    137,411.32x = 206,115.32 × 77,444.32
  4. Step 4: Simplify right side
    137,411.32x = 15,962,460,798.98
  5. Step 5: Solve for x
    x = 15,962,460,798.98/137,411.32
  6. Step 6: Final answer
    x = 116,165.54

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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.