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Finding the Fourth Proportional to 135,073, 186,400.74 and 75,457

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Solution

The fourth proportional to 135,073, 186,400.74 and 75,457 is: 104,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,073 : 186,400.74 = 75,457 : x
  2. Step 2: Convert to fraction form
    135,073/186,400.74 = 75,457/x
  3. Step 3: Cross multiply
    135,073x = 186,400.74 × 75,457
  4. Step 4: Simplify right side
    135,073x = 14,065,240,638.18
  5. Step 5: Solve for x
    x = 14,065,240,638.18/135,073
  6. Step 6: Final answer
    x = 104,130.66

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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.