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Finding the Fourth Proportional to 106,378.40, 159,421.80 and 86,695.40

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Solution

The fourth proportional to 106,378.40, 159,421.80 and 86,695.40 is: 129,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,378.40 : 159,421.80 = 86,695.40 : x
  2. Step 2: Convert to fraction form
    106,378.40/159,421.80 = 86,695.40/x
  3. Step 3: Cross multiply
    106,378.40x = 159,421.80 × 86,695.40
  4. Step 4: Simplify right side
    106,378.40x = 13,821,136,719.72
  5. Step 5: Solve for x
    x = 13,821,136,719.72/106,378.40
  6. Step 6: Final answer
    x = 129,924.28

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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.