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Finding the Fourth Proportional to 101,543.62, 152,050.47 and 81,713.86

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Solution

The fourth proportional to 101,543.62, 152,050.47 and 81,713.86 is: 122,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,543.62 : 152,050.47 = 81,713.86 : x
  2. Step 2: Convert to fraction form
    101,543.62/152,050.47 = 81,713.86/x
  3. Step 3: Cross multiply
    101,543.62x = 152,050.47 × 81,713.86
  4. Step 4: Simplify right side
    101,543.62x = 12,424,630,818.51
  5. Step 5: Solve for x
    x = 12,424,630,818.51/101,543.62
  6. Step 6: Final answer
    x = 122,357.57

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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.