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Finding the Fourth Proportional to 100,011.86, 137,951.34 and 64,145.06

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Solution

The fourth proportional to 100,011.86, 137,951.34 and 64,145.06 is: 88,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,011.86 : 137,951.34 = 64,145.06 : x
  2. Step 2: Convert to fraction form
    100,011.86/137,951.34 = 64,145.06/x
  3. Step 3: Cross multiply
    100,011.86x = 137,951.34 × 64,145.06
  4. Step 4: Simplify right side
    100,011.86x = 8,848,896,981.38
  5. Step 5: Solve for x
    x = 8,848,896,981.38/100,011.86
  6. Step 6: Final answer
    x = 88,478.48

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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.