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Finding the Fourth Proportional to 106,838.40, 160,063.20 and 87,009.60

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Solution

The fourth proportional to 106,838.40, 160,063.20 and 87,009.60 is: 130,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,838.40 : 160,063.20 = 87,009.60 : x
  2. Step 2: Convert to fraction form
    106,838.40/160,063.20 = 87,009.60/x
  3. Step 3: Cross multiply
    106,838.40x = 160,063.20 × 87,009.60
  4. Step 4: Simplify right side
    106,838.40x = 13,927,035,006.72
  5. Step 5: Solve for x
    x = 13,927,035,006.72/106,838.40
  6. Step 6: Final answer
    x = 130,356.08

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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.