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Finding the Fourth Proportional to 133,030.40, 199,315.20 and 86,259.20

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Solution

The fourth proportional to 133,030.40, 199,315.20 and 86,259.20 is: 129,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,030.40 : 199,315.20 = 86,259.20 : x
  2. Step 2: Convert to fraction form
    133,030.40/199,315.20 = 86,259.20/x
  3. Step 3: Cross multiply
    133,030.40x = 199,315.20 × 86,259.20
  4. Step 4: Simplify right side
    133,030.40x = 17,192,769,699.84
  5. Step 5: Solve for x
    x = 17,192,769,699.84/133,030.40
  6. Step 6: Final answer
    x = 129,239.40

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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.