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Finding the Fourth Proportional to 115,314.70, 172,972.05 and 91,986.70

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Solution

The fourth proportional to 115,314.70, 172,972.05 and 91,986.70 is: 137,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,314.70 : 172,972.05 = 91,986.70 : x
  2. Step 2: Convert to fraction form
    115,314.70/172,972.05 = 91,986.70/x
  3. Step 3: Cross multiply
    115,314.70x = 172,972.05 × 91,986.70
  4. Step 4: Simplify right side
    115,314.70x = 15,911,128,071.74
  5. Step 5: Solve for x
    x = 15,911,128,071.74/115,314.70
  6. Step 6: Final answer
    x = 137,980.05

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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.