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Finding the Fourth Proportional to 99,783.70, 149,675.55 and 86,953.30

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Solution

The fourth proportional to 99,783.70, 149,675.55 and 86,953.30 is: 130,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,783.70 : 149,675.55 = 86,953.30 : x
  2. Step 2: Convert to fraction form
    99,783.70/149,675.55 = 86,953.30/x
  3. Step 3: Cross multiply
    99,783.70x = 149,675.55 × 86,953.30
  4. Step 4: Simplify right side
    99,783.70x = 13,014,783,001.82
  5. Step 5: Solve for x
    x = 13,014,783,001.82/99,783.70
  6. Step 6: Final answer
    x = 130,429.95

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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.