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Finding the Fourth Proportional to 86,657.08, 119,511.90 and 56,431

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Solution

The fourth proportional to 86,657.08, 119,511.90 and 56,431 is: 77,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,657.08 : 119,511.90 = 56,431 : x
  2. Step 2: Convert to fraction form
    86,657.08/119,511.90 = 56,431/x
  3. Step 3: Cross multiply
    86,657.08x = 119,511.90 × 56,431
  4. Step 4: Simplify right side
    86,657.08x = 6,744,176,028.90
  5. Step 5: Solve for x
    x = 6,744,176,028.90/86,657.08
  6. Step 6: Final answer
    x = 77,826.02

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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.