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Finding the Fourth Proportional to 61,205.16, 84,431.64 and 40,822.32

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Solution

The fourth proportional to 61,205.16, 84,431.64 and 40,822.32 is: 56,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.16 : 84,431.64 = 40,822.32 : x
  2. Step 2: Convert to fraction form
    61,205.16/84,431.64 = 40,822.32/x
  3. Step 3: Cross multiply
    61,205.16x = 84,431.64 × 40,822.32
  4. Step 4: Simplify right side
    61,205.16x = 3,446,695,426.20
  5. Step 5: Solve for x
    x = 3,446,695,426.20/61,205.16
  6. Step 6: Final answer
    x = 56,313.80

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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.