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Finding the Fourth Proportional to 103,653.60, 143,029.24 and 65,398.72

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Solution

The fourth proportional to 103,653.60, 143,029.24 and 65,398.72 is: 90,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653.60 : 143,029.24 = 65,398.72 : x
  2. Step 2: Convert to fraction form
    103,653.60/143,029.24 = 65,398.72/x
  3. Step 3: Cross multiply
    103,653.60x = 143,029.24 × 65,398.72
  4. Step 4: Simplify right side
    103,653.60x = 9,353,928,697.50
  5. Step 5: Solve for x
    x = 9,353,928,697.50/103,653.60
  6. Step 6: Final answer
    x = 90,242.20

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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.