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Finding the Fourth Proportional to 71,114.16, 98,140.40 and 40,899.48

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Solution

The fourth proportional to 71,114.16, 98,140.40 and 40,899.48 is: 56,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,114.16 : 98,140.40 = 40,899.48 : x
  2. Step 2: Convert to fraction form
    71,114.16/98,140.40 = 40,899.48/x
  3. Step 3: Cross multiply
    71,114.16x = 98,140.40 × 40,899.48
  4. Step 4: Simplify right side
    71,114.16x = 4,013,891,326.99
  5. Step 5: Solve for x
    x = 4,013,891,326.99/71,114.16
  6. Step 6: Final answer
    x = 56,442.93

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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.