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Finding the Fourth Proportional to 100,012.61, 137,952.37 and 64,145.81

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Solution

The fourth proportional to 100,012.61, 137,952.37 and 64,145.81 is: 88,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,012.61 : 137,952.37 = 64,145.81 : x
  2. Step 2: Convert to fraction form
    100,012.61/137,952.37 = 64,145.81/x
  3. Step 3: Cross multiply
    100,012.61x = 137,952.37 × 64,145.81
  4. Step 4: Simplify right side
    100,012.61x = 8,849,066,515.07
  5. Step 5: Solve for x
    x = 8,849,066,515.07/100,012.61
  6. Step 6: Final answer
    x = 88,479.51

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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.