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Finding the Fourth Proportional to 85,406.60, 128,159.82 and 61,690.76

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Solution

The fourth proportional to 85,406.60, 128,159.82 and 61,690.76 is: 92,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406.60 : 128,159.82 = 61,690.76 : x
  2. Step 2: Convert to fraction form
    85,406.60/128,159.82 = 61,690.76/x
  3. Step 3: Cross multiply
    85,406.60x = 128,159.82 × 61,690.76
  4. Step 4: Simplify right side
    85,406.60x = 7,906,276,697.26
  5. Step 5: Solve for x
    x = 7,906,276,697.26/85,406.60
  6. Step 6: Final answer
    x = 92,572.20

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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.