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Finding the Fourth Proportional to 47,415.08, 65,405.40 and 30,648.08

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Solution

The fourth proportional to 47,415.08, 65,405.40 and 30,648.08 is: 42,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,415.08 : 65,405.40 = 30,648.08 : x
  2. Step 2: Convert to fraction form
    47,415.08/65,405.40 = 30,648.08/x
  3. Step 3: Cross multiply
    47,415.08x = 65,405.40 × 30,648.08
  4. Step 4: Simplify right side
    47,415.08x = 2,004,549,931.63
  5. Step 5: Solve for x
    x = 2,004,549,931.63/47,415.08
  6. Step 6: Final answer
    x = 42,276.63

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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.