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Finding the Fourth Proportional to 106,988.80, 160,828.80 and 76,038.40

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Solution

The fourth proportional to 106,988.80, 160,828.80 and 76,038.40 is: 114,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,988.80 : 160,828.80 = 76,038.40 : x
  2. Step 2: Convert to fraction form
    106,988.80/160,828.80 = 76,038.40/x
  3. Step 3: Cross multiply
    106,988.80x = 160,828.80 × 76,038.40
  4. Step 4: Simplify right side
    106,988.80x = 12,229,164,625.92
  5. Step 5: Solve for x
    x = 12,229,164,625.92/106,988.80
  6. Step 6: Final answer
    x = 114,303.22

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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.