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Finding the Fourth Proportional to 156.86, 235.32 and 70.16

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Solution

The fourth proportional to 156.86, 235.32 and 70.16 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 235.32 = 70.16 : x
  2. Step 2: Convert to fraction form
    156.86/235.32 = 70.16/x
  3. Step 3: Cross multiply
    156.86x = 235.32 × 70.16
  4. Step 4: Simplify right side
    156.86x = 16,510.05
  5. Step 5: Solve for x
    x = 16,510.05/156.86
  6. Step 6: Final answer
    x = 105.25

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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.