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Finding the Fourth Proportional to 116,638.64, 160,878.40 and 77,856.90

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Solution

The fourth proportional to 116,638.64, 160,878.40 and 77,856.90 is: 107,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,638.64 : 160,878.40 = 77,856.90 : x
  2. Step 2: Convert to fraction form
    116,638.64/160,878.40 = 77,856.90/x
  3. Step 3: Cross multiply
    116,638.64x = 160,878.40 × 77,856.90
  4. Step 4: Simplify right side
    116,638.64x = 12,525,493,500.96
  5. Step 5: Solve for x
    x = 12,525,493,500.96/116,638.64
  6. Step 6: Final answer
    x = 107,387.17

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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.