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Finding the Fourth Proportional to 100,064.51, 149,899.53 and 81,365.66

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Solution

The fourth proportional to 100,064.51, 149,899.53 and 81,365.66 is: 121,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,064.51 : 149,899.53 = 81,365.66 : x
  2. Step 2: Convert to fraction form
    100,064.51/149,899.53 = 81,365.66/x
  3. Step 3: Cross multiply
    100,064.51x = 149,899.53 × 81,365.66
  4. Step 4: Simplify right side
    100,064.51x = 12,196,674,192.14
  5. Step 5: Solve for x
    x = 12,196,674,192.14/100,064.51
  6. Step 6: Final answer
    x = 121,888.11

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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.