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Finding the Fourth Proportional to 99,782.70, 149,674.05 and 86,952.30

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Solution

The fourth proportional to 99,782.70, 149,674.05 and 86,952.30 is: 130,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782.70 : 149,674.05 = 86,952.30 : x
  2. Step 2: Convert to fraction form
    99,782.70/149,674.05 = 86,952.30/x
  3. Step 3: Cross multiply
    99,782.70x = 149,674.05 × 86,952.30
  4. Step 4: Simplify right side
    99,782.70x = 13,014,502,897.82
  5. Step 5: Solve for x
    x = 13,014,502,897.82/99,782.70
  6. Step 6: Final answer
    x = 130,428.45

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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.