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Finding the Fourth Proportional to 116,643.64, 160,885.30 and 77,861.90

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Solution

The fourth proportional to 116,643.64, 160,885.30 and 77,861.90 is: 107,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643.64 : 160,885.30 = 77,861.90 : x
  2. Step 2: Convert to fraction form
    116,643.64/160,885.30 = 77,861.90/x
  3. Step 3: Cross multiply
    116,643.64x = 160,885.30 × 77,861.90
  4. Step 4: Simplify right side
    116,643.64x = 12,526,835,140.07
  5. Step 5: Solve for x
    x = 12,526,835,140.07/116,643.64
  6. Step 6: Final answer
    x = 107,394.07

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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.