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Finding the Fourth Proportional to 67,870.83, 101,840.19 and 30,457.65

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Solution

The fourth proportional to 67,870.83, 101,840.19 and 30,457.65 is: 45,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,870.83 : 101,840.19 = 30,457.65 : x
  2. Step 2: Convert to fraction form
    67,870.83/101,840.19 = 30,457.65/x
  3. Step 3: Cross multiply
    67,870.83x = 101,840.19 × 30,457.65
  4. Step 4: Simplify right side
    67,870.83x = 3,101,812,862.95
  5. Step 5: Solve for x
    x = 3,101,812,862.95/67,870.83
  6. Step 6: Final answer
    x = 45,701.71

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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.