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Finding the Fourth Proportional to 106,971.92, 160,613.40 and 78,978.32

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Solution

The fourth proportional to 106,971.92, 160,613.40 and 78,978.32 is: 118,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,971.92 : 160,613.40 = 78,978.32 : x
  2. Step 2: Convert to fraction form
    106,971.92/160,613.40 = 78,978.32/x
  3. Step 3: Cross multiply
    106,971.92x = 160,613.40 × 78,978.32
  4. Step 4: Simplify right side
    106,971.92x = 12,684,976,501.49
  5. Step 5: Solve for x
    x = 12,684,976,501.49/106,971.92
  6. Step 6: Final answer
    x = 118,582.30

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1.5x scale

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.