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Finding the Fourth Proportional to 98,837.64, 136,385.76 and 56,388

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Solution

The fourth proportional to 98,837.64, 136,385.76 and 56,388 is: 77,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,837.64 : 136,385.76 = 56,388 : x
  2. Step 2: Convert to fraction form
    98,837.64/136,385.76 = 56,388/x
  3. Step 3: Cross multiply
    98,837.64x = 136,385.76 × 56,388
  4. Step 4: Simplify right side
    98,837.64x = 7,690,520,234.88
  5. Step 5: Solve for x
    x = 7,690,520,234.88/98,837.64
  6. Step 6: Final answer
    x = 77,809.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.