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Finding the Fourth Proportional to 47,322.80, 65,316.48 and 31,407.92

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Solution

The fourth proportional to 47,322.80, 65,316.48 and 31,407.92 is: 43,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,322.80 : 65,316.48 = 31,407.92 : x
  2. Step 2: Convert to fraction form
    47,322.80/65,316.48 = 31,407.92/x
  3. Step 3: Cross multiply
    47,322.80x = 65,316.48 × 31,407.92
  4. Step 4: Simplify right side
    47,322.80x = 2,051,454,778.52
  5. Step 5: Solve for x
    x = 2,051,454,778.52/47,322.80
  6. Step 6: Final answer
    x = 43,350.24

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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.