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Finding the Fourth Proportional to 65,686.32, 90,646.32 and 40,188.24

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Solution

The fourth proportional to 65,686.32, 90,646.32 and 40,188.24 is: 55,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.32 : 90,646.32 = 40,188.24 : x
  2. Step 2: Convert to fraction form
    65,686.32/90,646.32 = 40,188.24/x
  3. Step 3: Cross multiply
    65,686.32x = 90,646.32 × 40,188.24
  4. Step 4: Simplify right side
    65,686.32x = 3,642,916,063.28
  5. Step 5: Solve for x
    x = 3,642,916,063.28/65,686.32
  6. Step 6: Final answer
    x = 55,459.28

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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.