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Finding the Fourth Proportional to 103,709.69, 143,059.73 and 65,455.64

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Solution

The fourth proportional to 103,709.69, 143,059.73 and 65,455.64 is: 90,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,709.69 : 143,059.73 = 65,455.64 : x
  2. Step 2: Convert to fraction form
    103,709.69/143,059.73 = 65,455.64/x
  3. Step 3: Cross multiply
    103,709.69x = 143,059.73 × 65,455.64
  4. Step 4: Simplify right side
    103,709.69x = 9,364,066,185.38
  5. Step 5: Solve for x
    x = 9,364,066,185.38/103,709.69
  6. Step 6: Final answer
    x = 90,291.14

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1.5x scale

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.