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Finding the Fourth Proportional to 114,345.18, 157,738.32 and 78,019.38

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Solution

The fourth proportional to 114,345.18, 157,738.32 and 78,019.38 is: 107,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,345.18 : 157,738.32 = 78,019.38 : x
  2. Step 2: Convert to fraction form
    114,345.18/157,738.32 = 78,019.38/x
  3. Step 3: Cross multiply
    114,345.18x = 157,738.32 × 78,019.38
  4. Step 4: Simplify right side
    114,345.18x = 12,306,645,928.64
  5. Step 5: Solve for x
    x = 12,306,645,928.64/114,345.18
  6. Step 6: Final answer
    x = 107,627.15

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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.