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Finding the Fourth Proportional to 85,396.34, 128,094.95 and 35,476.50

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Solution

The fourth proportional to 85,396.34, 128,094.95 and 35,476.50 is: 53,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,396.34 : 128,094.95 = 35,476.50 : x
  2. Step 2: Convert to fraction form
    85,396.34/128,094.95 = 35,476.50/x
  3. Step 3: Cross multiply
    85,396.34x = 128,094.95 × 35,476.50
  4. Step 4: Simplify right side
    85,396.34x = 4,544,360,342.19
  5. Step 5: Solve for x
    x = 4,544,360,342.19/85,396.34
  6. Step 6: Final answer
    x = 53,214.93

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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.