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Finding the Fourth Proportional to 145,018, 200,124.90 and 88,441.12

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Solution

The fourth proportional to 145,018, 200,124.90 and 88,441.12 is: 122,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,018 : 200,124.90 = 88,441.12 : x
  2. Step 2: Convert to fraction form
    145,018/200,124.90 = 88,441.12/x
  3. Step 3: Cross multiply
    145,018x = 200,124.90 × 88,441.12
  4. Step 4: Simplify right side
    145,018x = 17,699,270,295.89
  5. Step 5: Solve for x
    x = 17,699,270,295.89/145,018
  6. Step 6: Final answer
    x = 122,048.78

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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.