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Finding the Fourth Proportional to 99,089.80, 148,926.30 and 86,259.40

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Solution

The fourth proportional to 99,089.80, 148,926.30 and 86,259.40 is: 129,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,089.80 : 148,926.30 = 86,259.40 : x
  2. Step 2: Convert to fraction form
    99,089.80/148,926.30 = 86,259.40/x
  3. Step 3: Cross multiply
    99,089.80x = 148,926.30 × 86,259.40
  4. Step 4: Simplify right side
    99,089.80x = 12,846,293,282.22
  5. Step 5: Solve for x
    x = 12,846,293,282.22/99,089.80
  6. Step 6: Final answer
    x = 129,642.94

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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.