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Finding the Fourth Proportional to 111,548.86, 167,323.54 and 78,416.98

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Solution

The fourth proportional to 111,548.86, 167,323.54 and 78,416.98 is: 117,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,548.86 : 167,323.54 = 78,416.98 : x
  2. Step 2: Convert to fraction form
    111,548.86/167,323.54 = 78,416.98/x
  3. Step 3: Cross multiply
    111,548.86x = 167,323.54 × 78,416.98
  4. Step 4: Simplify right side
    111,548.86x = 13,121,006,689.71
  5. Step 5: Solve for x
    x = 13,121,006,689.71/111,548.86
  6. Step 6: Final answer
    x = 117,625.65

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1.5x scale

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.