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Finding the Fourth Proportional to 61,415.16, 92,117.86 and 21,968.16

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Solution

The fourth proportional to 61,415.16, 92,117.86 and 21,968.16 is: 32,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,415.16 : 92,117.86 = 21,968.16 : x
  2. Step 2: Convert to fraction form
    61,415.16/92,117.86 = 21,968.16/x
  3. Step 3: Cross multiply
    61,415.16x = 92,117.86 × 21,968.16
  4. Step 4: Simplify right side
    61,415.16x = 2,023,659,887.34
  5. Step 5: Solve for x
    x = 2,023,659,887.34/61,415.16
  6. Step 6: Final answer
    x = 32,950.49

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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.