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Finding the Fourth Proportional to 65,354.94, 98,045.12 and 20,978.28

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Solution

The fourth proportional to 65,354.94, 98,045.12 and 20,978.28 is: 31,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.94 : 98,045.12 = 20,978.28 : x
  2. Step 2: Convert to fraction form
    65,354.94/98,045.12 = 20,978.28/x
  3. Step 3: Cross multiply
    65,354.94x = 98,045.12 × 20,978.28
  4. Step 4: Simplify right side
    65,354.94x = 2,056,817,979.99
  5. Step 5: Solve for x
    x = 2,056,817,979.99/65,354.94
  6. Step 6: Final answer
    x = 31,471.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.