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Finding the Fourth Proportional to 149,030.46, 205,651.20 and 84,501

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Solution

The fourth proportional to 149,030.46, 205,651.20 and 84,501 is: 116,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,030.46 : 205,651.20 = 84,501 : x
  2. Step 2: Convert to fraction form
    149,030.46/205,651.20 = 84,501/x
  3. Step 3: Cross multiply
    149,030.46x = 205,651.20 × 84,501
  4. Step 4: Simplify right side
    149,030.46x = 17,377,732,051.20
  5. Step 5: Solve for x
    x = 17,377,732,051.20/149,030.46
  6. Step 6: Final answer
    x = 116,605.24

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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.