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Finding the Fourth Proportional to 47,702.72, 65,784 and 30,689.60

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Solution

The fourth proportional to 47,702.72, 65,784 and 30,689.60 is: 42,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.72 : 65,784 = 30,689.60 : x
  2. Step 2: Convert to fraction form
    47,702.72/65,784 = 30,689.60/x
  3. Step 3: Cross multiply
    47,702.72x = 65,784 × 30,689.60
  4. Step 4: Simplify right side
    47,702.72x = 2,018,884,646.40
  5. Step 5: Solve for x
    x = 2,018,884,646.40/47,702.72
  6. Step 6: Final answer
    x = 42,322.21

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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.