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Finding the Fourth Proportional to 99,238.80, 148,874.60 and 45,984

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Solution

The fourth proportional to 99,238.80, 148,874.60 and 45,984 is: 68,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,238.80 : 148,874.60 = 45,984 : x
  2. Step 2: Convert to fraction form
    99,238.80/148,874.60 = 45,984/x
  3. Step 3: Cross multiply
    99,238.80x = 148,874.60 × 45,984
  4. Step 4: Simplify right side
    99,238.80x = 6,845,849,606.40
  5. Step 5: Solve for x
    x = 6,845,849,606.40/99,238.80
  6. Step 6: Final answer
    x = 68,983.60

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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.