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Finding the Fourth Proportional to 152,272, 210,135.36 and 85,216.96

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Solution

The fourth proportional to 152,272, 210,135.36 and 85,216.96 is: 117,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,272 : 210,135.36 = 85,216.96 : x
  2. Step 2: Convert to fraction form
    152,272/210,135.36 = 85,216.96/x
  3. Step 3: Cross multiply
    152,272x = 210,135.36 × 85,216.96
  4. Step 4: Simplify right side
    152,272x = 17,907,096,567.71
  5. Step 5: Solve for x
    x = 17,907,096,567.71/152,272
  6. Step 6: Final answer
    x = 117,599.40

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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.