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Finding the Fourth Proportional to 100,082.03, 138,148.38 and 61,870.88

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Solution

The fourth proportional to 100,082.03, 138,148.38 and 61,870.88 is: 85,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.03 : 138,148.38 = 61,870.88 : x
  2. Step 2: Convert to fraction form
    100,082.03/138,148.38 = 61,870.88/x
  3. Step 3: Cross multiply
    100,082.03x = 138,148.38 × 61,870.88
  4. Step 4: Simplify right side
    100,082.03x = 8,547,362,186.55
  5. Step 5: Solve for x
    x = 8,547,362,186.55/100,082.03
  6. Step 6: Final answer
    x = 85,403.57

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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.