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Finding the Fourth Proportional to 99,931.86, 137,840.67 and 64,065.06

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Solution

The fourth proportional to 99,931.86, 137,840.67 and 64,065.06 is: 88,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,931.86 : 137,840.67 = 64,065.06 : x
  2. Step 2: Convert to fraction form
    99,931.86/137,840.67 = 64,065.06/x
  3. Step 3: Cross multiply
    99,931.86x = 137,840.67 × 64,065.06
  4. Step 4: Simplify right side
    99,931.86x = 8,830,770,793.99
  5. Step 5: Solve for x
    x = 8,830,770,793.99/99,931.86
  6. Step 6: Final answer
    x = 88,367.92

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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.