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Finding the Fourth Proportional to 114,147.55, 157,509.81 and 65,765.30

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Solution

The fourth proportional to 114,147.55, 157,509.81 and 65,765.30 is: 90,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,147.55 : 157,509.81 = 65,765.30 : x
  2. Step 2: Convert to fraction form
    114,147.55/157,509.81 = 65,765.30/x
  3. Step 3: Cross multiply
    114,147.55x = 157,509.81 × 65,765.30
  4. Step 4: Simplify right side
    114,147.55x = 10,358,679,907.59
  5. Step 5: Solve for x
    x = 10,358,679,907.59/114,147.55
  6. Step 6: Final answer
    x = 90,748.16

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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.