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Finding the Fourth Proportional to 106,384.40, 159,430.80 and 86,701.40

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Solution

The fourth proportional to 106,384.40, 159,430.80 and 86,701.40 is: 129,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384.40 : 159,430.80 = 86,701.40 : x
  2. Step 2: Convert to fraction form
    106,384.40/159,430.80 = 86,701.40/x
  3. Step 3: Cross multiply
    106,384.40x = 159,430.80 × 86,701.40
  4. Step 4: Simplify right side
    106,384.40x = 13,822,873,563.12
  5. Step 5: Solve for x
    x = 13,822,873,563.12/106,384.40
  6. Step 6: Final answer
    x = 129,933.28

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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.