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Finding the Fourth Proportional to 85,659, 128,488.50 and 23,329.50

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Solution

The fourth proportional to 85,659, 128,488.50 and 23,329.50 is: 34,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,659 : 128,488.50 = 23,329.50 : x
  2. Step 2: Convert to fraction form
    85,659/128,488.50 = 23,329.50/x
  3. Step 3: Cross multiply
    85,659x = 128,488.50 × 23,329.50
  4. Step 4: Simplify right side
    85,659x = 2,997,572,460.75
  5. Step 5: Solve for x
    x = 2,997,572,460.75/85,659
  6. Step 6: Final answer
    x = 34,994.25

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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.