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Finding the Fourth Proportional to 99,230.86, 148,848.72 and 29,112.40

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Solution

The fourth proportional to 99,230.86, 148,848.72 and 29,112.40 is: 43,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,230.86 : 148,848.72 = 29,112.40 : x
  2. Step 2: Convert to fraction form
    99,230.86/148,848.72 = 29,112.40/x
  3. Step 3: Cross multiply
    99,230.86x = 148,848.72 × 29,112.40
  4. Step 4: Simplify right side
    99,230.86x = 4,333,343,476.13
  5. Step 5: Solve for x
    x = 4,333,343,476.13/99,230.86
  6. Step 6: Final answer
    x = 43,669.31

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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.