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Finding the Fourth Proportional to 145,643.67, 200,988.32 and 85,225.93

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Solution

The fourth proportional to 145,643.67, 200,988.32 and 85,225.93 is: 117,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,643.67 : 200,988.32 = 85,225.93 : x
  2. Step 2: Convert to fraction form
    145,643.67/200,988.32 = 85,225.93/x
  3. Step 3: Cross multiply
    145,643.67x = 200,988.32 × 85,225.93
  4. Step 4: Simplify right side
    145,643.67x = 17,129,415,562.54
  5. Step 5: Solve for x
    x = 17,129,415,562.54/145,643.67
  6. Step 6: Final answer
    x = 117,611.81

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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.