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Finding the Fourth Proportional to 152,478.75, 210,420.69 and 85,410.75

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Solution

The fourth proportional to 152,478.75, 210,420.69 and 85,410.75 is: 117,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,478.75 : 210,420.69 = 85,410.75 : x
  2. Step 2: Convert to fraction form
    152,478.75/210,420.69 = 85,410.75/x
  3. Step 3: Cross multiply
    152,478.75x = 210,420.69 × 85,410.75
  4. Step 4: Simplify right side
    152,478.75x = 17,972,188,948.42
  5. Step 5: Solve for x
    x = 17,972,188,948.42/152,478.75
  6. Step 6: Final answer
    x = 117,866.84

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1.5x scale

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.