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Finding the Fourth Proportional to 86,684.40, 119,640 and 56,095.20

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Solution

The fourth proportional to 86,684.40, 119,640 and 56,095.20 is: 77,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684.40 : 119,640 = 56,095.20 : x
  2. Step 2: Convert to fraction form
    86,684.40/119,640 = 56,095.20/x
  3. Step 3: Cross multiply
    86,684.40x = 119,640 × 56,095.20
  4. Step 4: Simplify right side
    86,684.40x = 6,711,229,728
  5. Step 5: Solve for x
    x = 6,711,229,728/86,684.40
  6. Step 6: Final answer
    x = 77,421.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.