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Finding the Fourth Proportional to 85,740.50, 128,619.66 and 23,411

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Solution

The fourth proportional to 85,740.50, 128,619.66 and 23,411 is: 35,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,740.50 : 128,619.66 = 23,411 : x
  2. Step 2: Convert to fraction form
    85,740.50/128,619.66 = 23,411/x
  3. Step 3: Cross multiply
    85,740.50x = 128,619.66 × 23,411
  4. Step 4: Simplify right side
    85,740.50x = 3,011,114,860.26
  5. Step 5: Solve for x
    x = 3,011,114,860.26/85,740.50
  6. Step 6: Final answer
    x = 35,118.93

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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.