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Finding the Fourth Proportional to 114,377.40, 157,849.56 and 65,988

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Solution

The fourth proportional to 114,377.40, 157,849.56 and 65,988 is: 91,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,377.40 : 157,849.56 = 65,988 : x
  2. Step 2: Convert to fraction form
    114,377.40/157,849.56 = 65,988/x
  3. Step 3: Cross multiply
    114,377.40x = 157,849.56 × 65,988
  4. Step 4: Simplify right side
    114,377.40x = 10,416,176,765.28
  5. Step 5: Solve for x
    x = 10,416,176,765.28/114,377.40
  6. Step 6: Final answer
    x = 91,068.49

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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.