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Finding the Fourth Proportional to 130,974, 180,744.12 and 71,358

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Solution

The fourth proportional to 130,974, 180,744.12 and 71,358 is: 98,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,974 : 180,744.12 = 71,358 : x
  2. Step 2: Convert to fraction form
    130,974/180,744.12 = 71,358/x
  3. Step 3: Cross multiply
    130,974x = 180,744.12 × 71,358
  4. Step 4: Simplify right side
    130,974x = 12,897,538,914.96
  5. Step 5: Solve for x
    x = 12,897,538,914.96/130,974
  6. Step 6: Final answer
    x = 98,474.04

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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.