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Finding the Fourth Proportional to 103,691.64, 143,086.32 and 61,242.24

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Solution

The fourth proportional to 103,691.64, 143,086.32 and 61,242.24 is: 84,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691.64 : 143,086.32 = 61,242.24 : x
  2. Step 2: Convert to fraction form
    103,691.64/143,086.32 = 61,242.24/x
  3. Step 3: Cross multiply
    103,691.64x = 143,086.32 × 61,242.24
  4. Step 4: Simplify right side
    103,691.64x = 8,762,926,750.16
  5. Step 5: Solve for x
    x = 8,762,926,750.16/103,691.64
  6. Step 6: Final answer
    x = 84,509.48

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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.