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Finding the Fourth Proportional to 139,121.76, 191,970.54 and 77,866.32

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Solution

The fourth proportional to 139,121.76, 191,970.54 and 77,866.32 is: 107,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,121.76 : 191,970.54 = 77,866.32 : x
  2. Step 2: Convert to fraction form
    139,121.76/191,970.54 = 77,866.32/x
  3. Step 3: Cross multiply
    139,121.76x = 191,970.54 × 77,866.32
  4. Step 4: Simplify right side
    139,121.76x = 14,948,039,498.21
  5. Step 5: Solve for x
    x = 14,948,039,498.21/139,121.76
  6. Step 6: Final answer
    x = 107,445.73

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1.5x scale

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.