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Finding the Fourth Proportional to 130,590.72, 180,214.56 and 70,974.72

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Solution

The fourth proportional to 130,590.72, 180,214.56 and 70,974.72 is: 97,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,590.72 : 180,214.56 = 70,974.72 : x
  2. Step 2: Convert to fraction form
    130,590.72/180,214.56 = 70,974.72/x
  3. Step 3: Cross multiply
    130,590.72x = 180,214.56 × 70,974.72
  4. Step 4: Simplify right side
    130,590.72x = 12,790,677,935.92
  5. Step 5: Solve for x
    x = 12,790,677,935.92/130,590.72
  6. Step 6: Final answer
    x = 97,944.77

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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.