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Finding the Fourth Proportional to 139,009.95, 191,831.65 and 78,578.47

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Solution

The fourth proportional to 139,009.95, 191,831.65 and 78,578.47 is: 108,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,009.95 : 191,831.65 = 78,578.47 : x
  2. Step 2: Convert to fraction form
    139,009.95/191,831.65 = 78,578.47/x
  3. Step 3: Cross multiply
    139,009.95x = 191,831.65 × 78,578.47
  4. Step 4: Simplify right side
    139,009.95x = 15,073,837,554.58
  5. Step 5: Solve for x
    x = 15,073,837,554.58/139,009.95
  6. Step 6: Final answer
    x = 108,437.11

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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.